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Family of solutions to related differential equations
Bessel functions are a class of special functions that commonly appear in problems involving wave motion, heat conduction, and other physical phenomena
Bessel_function
Mathematical operation
expresses any given function f(r) as the weighted sum of an infinite number of Bessel functions of the first kind Jν(kr). The Bessel functions in the sum are
Hankel_transform
mathematical analysis, the Bessel–Clifford function, named after Friedrich Bessel and William Kingdon Clifford, is an entire function of two complex variables
Bessel–Clifford_function
German astronomer and mathematician (1784–1846)
important mathematical functions were first studied systematically by Bessel and were named Bessel functions in his honour. Bessel was born in Minden, Westphalia
Friedrich_Wilhelm_Bessel
Non-diffractive wave
A Bessel beam is a wave whose amplitude is described by a Bessel function of the first kind. Electromagnetic, acoustic, gravitational, and matter waves
Bessel_beam
Infinite series of Bessel functions
Fourier–Bessel series is a particular kind of generalized Fourier series (an infinite series expansion on a finite interval) based on Bessel functions. Fourier–Bessel
Fourier–Bessel_series
In mathematics, a Jackson q-Bessel function (or basic Bessel function) is one of the three q-analogs of the Bessel function introduced by Jackson (1906a
Jackson_q-Bessel_function
Type of analog linear filter in electronics
called Bessel–Thomson filters in recognition of W. E. Thomson, who worked out how to apply Bessel functions to filter design in 1949. The Bessel filter
Bessel_filter
Used in finite impulse response filter design and spectral analysis
known as the Kaiser–Bessel window, was developed by James Kaiser at Bell Laboratories. It is a one-parameter family of window functions used in finite impulse
Kaiser_window
Electronic method of transmitting information with a carrier wave
carrier modulated by such a sinusoidal signal can be represented with Bessel functions; this provides the basis for a mathematical understanding of frequency
Frequency_modulation
In mathematics, the Bessel–Maitland function, or Wright generalized Bessel function, is a generalization of the Bessel function, introduced by Edward
Bessel–Maitland_function
Continuous probability distribution
The variance-gamma distribution, generalized Laplace distribution or Bessel function distribution is a continuous probability distribution that is defined
Variance-gamma_distribution
Special mathematical function defined as sin(x)/x
zeroth-order spherical Bessel function of the first kind. The sinc function is also called the cardinal sine function. The sinc function has two forms, normalized
Sinc_function
Quantity in relativistic physics
identity represents the Lorentz factor in terms of an infinite series of Bessel functions: ∑ m = 1 ∞ ( J m − 1 2 ( m β ) + J m + 1 2 ( m β ) ) = 1 1 − β 2 .
Lorentz_factor
Family of power series in mathematics
in turn have many particular special functions as special cases, such as elementary functions, Bessel functions, and the classical orthogonal polynomials
Generalized hypergeometric function
Generalized_hypergeometric_function
Analytic function that does not satisfy a polynomial equation
logarithm and inverse trigonometric functions. All special functions such as the gamma, error, bessel, and Riemann zeta functions are transcendental. Equations
Transcendental_function
Method of solution to differential equations
Heaviside step function, J ν ( z ) {\textstyle J_{\nu }(z)} is a Bessel function, I ν ( z ) {\textstyle I_{\nu }(z)} is a modified Bessel function of the first
Green's_function
Tool in multivariate statistical analysis
Γ {\displaystyle \Gamma } is the gamma function, K ν {\displaystyle K_{\nu }} is the modified Bessel function of the second kind, and ρ and ν {\displaystyle
Matérn_covariance_function
Mathematics concept
reverse Bessel polynomial is used in the design of Bessel electronic filters. The Bessel polynomial may also be defined using Bessel functions from which
Bessel_polynomials
Response if an optical system to a point source of light
uniform function over a circular area (in one FT domain) corresponds to J1(x)/x in the other FT domain, where J1(x) is the first-order Bessel function of the
Point_spread_function
incomplete Bessel functions are types of special functions which act as a type of extension from the complete-type of Bessel functions. The incomplete Bessel functions
Incomplete_Bessel_functions
Dedekind eta function Airy function Bessel functions: Defined by a differential equation; useful in astronomy, electromagnetism, and mechanics. Bessel–Clifford
List of mathematical functions
List_of_mathematical_functions
Sequence of differential equation solutions
the Bessel function J α ( x ) {\displaystyle J_{\alpha }(x)} . a m {\displaystyle a_{m}} is the m {\displaystyle m} -th zero of the Airy function Ai
Laguerre_polynomials
Function used in signal processing
Kaiser window which is defined in terms of a modified Bessel function. This hybrid window function was introduced to decrease the peak side-lobe level of
Window_function
mathematics, the Hahn–Exton q-Bessel function or the third Jackson q-Bessel function is a q-analog of the Bessel function, and satisfies the Hahn-Exton
Hahn–Exton_q-Bessel_function
Generalized function whose value is zero everywhere except at zero
{1}{\varepsilon }}}^{\frac {1}{\varepsilon }}\cos(kx)\,dk} and the Bessel function η ε ( x ) = 1 ε J 1 ε ( x + 1 ε ) . {\displaystyle \eta _{\varepsilon
Dirac_delta_function
Probability distribution
density function f Z ( z ) = π − 1 K 0 ( | z | ) {\textstyle f_{Z}(z)=\pi ^{-1}K_{0}(|z|)} where K 0 {\textstyle K_{0}} is the modified Bessel function of
Normal_distribution
Mathematical functions having established names and notations
\operatorname {arctg} } , or tan − 1 {\displaystyle \tan ^{-1}} . The Bessel functions may be denoted J n ( x ) , {\displaystyle J_{n}(x),} besselj ( n
Special_functions
Probability distribution on the circle
\cos(x-\mu ))}{2\pi I_{0}(\kappa )}}} where I0(κ) is the modified Bessel function of the first kind of order 0, with this scaling constant chosen so
Von_Mises_distribution
Topics referred to by the same term
Bessel may refer to: Bessel beam Bessel ellipsoid Bessel function in mathematics Bessel's inequality in mathematics Bessel's correction in statistics Bessel
Bessel
Mathematical transform that expresses a function of time as a function of frequency
the Bessel function of the first kind with order n + 2k − 2/2. When k = 0 this gives a useful formula for the Fourier transform of a radial function. This
Fourier_transform
Difference between logarithm and harmonic series
integral.* In relation to Bessel functions. Asymptotic expansions of modified Struve functions. In relation to other special functions. An inequality for Euler's
Euler's_constant
Bernoulli: Bernoulli polynomial Friedrich Bessel: Bessel function, Bessel–Clifford function H. Blasius: Blasius functions R. P. Boas, R. C. Buck: Boas–Buck polynomial
List of eponyms of special functions
List_of_eponyms_of_special_functions
Flow with periodic variations
\cos(n\omega t)\,.} In this case, the function is real, because the pressure and velocity waves are in phase. The Bessel function at its upper limit becomes lim
Pulsatile_flow
where x is real, and Jν(z), is the νth order Bessel function of the first kind. Similarly, the functions kerν(x) and keiν(x) are the real and imaginary
Kelvin_functions
Mathematical theorem
x={\sqrt {2}}{\frac {4\pi }{5}}\zeta \left({\frac {5}{4}}\right)} The Bessel function of the first kind has the power series J ν ( z ) = ∑ k = 0 ∞ ( − 1
Ramanujan's_master_theorem
Mathematical function
t)=e^{-t}I_{n}(t)} where I n ( t ) {\displaystyle I_{n}(t)} denotes the modified Bessel functions of integer order. This is the discrete analog of the continuous Gaussian
Gaussian_function
exponential in cylindrical coordinates can be written in terms of Bessel functions of the first kind ∫ 0 2 π d φ 2 π exp ( i p cos ( φ ) ) = J 0 (
Common integrals in quantum field theory
Common_integrals_in_quantum_field_theory
Special function in the physical sciences
modified Bessel functions) For negative arguments, the Airy function are related to the Bessel functions: Ai ( − x ) = x 9 [ J 1 / 3 ( 2 3 x 3 / 2 ) + J − 1
Airy_function
Probability distribution
hypergeometric function (of the first kind) reduces to a Bessel function (the modified Bessel function of the first kind I α − 1 2 {\displaystyle I_{\alpha
Beta_distribution
series Elliptic gamma function Hahn–Exton q-Bessel function Jackson q-Bessel function q-exponential q-gamma function q-theta function Lists of mathematics
List_of_q-analogs
Irreducible representation of the rotation group SO
where J m − m ′ ( ℓ β ) {\displaystyle J_{m-m'}(\ell \beta )} is the Bessel function and ℓ β {\displaystyle \ell \beta } is finite. Using sign convention
Wigner_D-matrix
German mathematician
q-addition (or Jackson-Hahn-Cigler q-addition), and the Hahn–Exton q-Bessel function. He was an honorary member of the Austrian Mathematical Society. Kappel
Wolfgang_Hahn
Discrete probability distribution
is the modified Bessel function of the first kind. Since k is an integer we have that Ik(z) = I|k|(z). The probability mass function of a Poisson-distributed
Skellam_distribution
_{0}^{2\pi }e^{x\cos \theta }d\theta =2\pi I_{0}(x)} (I0 is the modified Bessel function of the first kind) ∫ 0 2 π e x cos θ + y sin θ d θ = 2 π I 0 (
List of integrals of exponential functions
List_of_integrals_of_exponential_functions
Tendency of AC current flow in a conductor's outer layer
0 = {\displaystyle J_{0}={}} Bessel function of the first kind, order 0 J 1 = {\displaystyle J_{1}={}} Bessel function of the first kind, order 1 k =
Skin_effect
Special function occurring in problems possessing elliptic symmetry
cosine function was solved in 1928 by Strutt. Almost Mathieu operator Bessel function Hill differential equation Inverted pendulum Lamé function List of
Mathieu_function
Continuous probability distribution
Birkhäuser 2013 Note: in the literature this function is also referred to as Modified Bessel function of the third kind Barndorff-Nielsen, Ole (1977)
Normal-inverse Gaussian distribution
Normal-inverse_Gaussian_distribution
Mathematical function
In mathematics, the Struve functions Hα(x), are solutions y(x) of the non-homogeneous Bessel's differential equation: x 2 d 2 y d x 2 + x d y d x + (
Struve_function
Solution of a confluent hypergeometric equation
z)=(1+z)e^{z}.} Bateman's function Bessel functions and many related functions such as Airy functions, Kelvin functions, Hankel functions. For example, in the
Confluent hypergeometric function
Confluent_hypergeometric_function
In mathematics, a non-algebraic number
{\displaystyle J_{\alpha }(x)} are Bessel functions and γ is the Euler–Mascheroni constant. Values of the Fibonacci zeta function at positive even arguments.
Transcendental_number
Equations of waves in a drumhead-like disc
equation are a linear combination of Bessel functions of order 0, since this has the form of modified Bessel's equation: R ( r ) = c 1 J 0 ( λ r ) +
Vibration of a circular membrane
Vibration_of_a_circular_membrane
Partial differential equations
vertical heights whose kernel is given in terms of the order-zero Bessel function of the first kind as 1 | x − x ′ | = ∫ 0 ∞ J 0 ( k R 2 + R ′ 2 − 2
Green's function for the three-variable Laplace equation
Green's_function_for_the_three-variable_Laplace_equation
Probability distribution
confluent hypergeometric function and J1 is the Bessel function of the first kind. Likewise the moment generating function can be calculated as M ( t
Wigner semicircle distribution
Wigner_semicircle_distribution
2-dimensional polar coordinate function
sombrero hat. This function is frequently used in image processing.[failed verification] It can be defined through the Bessel function of the first kind
Sombrero_function
Diffraction pattern in optics
pattern at the Airy disc center, J 1 {\displaystyle J_{1}} is the Bessel function of the first kind of order one, k = 2 π / λ {\displaystyle k={2\pi
Airy_disk
Type of function in mathematics
special functions are analytic on a suitable domain: hypergeometric functions on suitable domains Bessel functions on suitable domains The gamma function away
Analytic_function
Transfer length method (a.k.a. Transmission line measurement)
zero ( I ( r = 0 ) = 0 {\displaystyle I(r=0)=0} ). Since the modified Bessel function K 0 ( r ) {\displaystyle K_{0}(r)} tends to infinity when r {\displaystyle
Transfer_length_method
Eigenvalue problem for the Laplace operator
{\displaystyle R=\gamma \,J_{n}(\rho )\,,} where the Bessel function Jn(ρ) satisfies Bessel's equation z 2 J n ″ + z J n ′ + ( z 2 − n 2 ) J n = 0 ,
Helmholtz_equation
Function that is holomorphic on the whole complex plane
z ) {\displaystyle \cosh(z)} the Bessel functions J n ( z ) {\displaystyle J_{n}(z)} and spherical Bessel functions j n ( z ) {\displaystyle j_{n}(z)}
Entire_function
hypergeometric function. Anger function Lommel polynomial Struve function Weber function Watson's "Treatise on the Theory of Bessel functions" (1966), Section
Lommel_function
the Bessel functions. The Weber function (also known as Lommel–Weber function), introduced by H. F. Weber (1879), is a closely related function defined
Anger_function
Mathematical integral transform
uses a Macdonald function (modified Bessel function of the second kind) with imaginary index as its kernel. Unlike other Bessel function transforms, such
Kontorovich–Lebedev_transform
that the Bessel functions are mostly smooth functions of α. The most important cases are when α is an integer or half-integer. Bessel functions for integer
Glossary_of_physics
Theorem in analysis
unit ball in Rn is the square of the smallest positive zero of the Bessel function of the first kind J(n − 2)/2. the first Neumann eigenvalue of the Laplace−Beltrami
Wirtinger's inequality for functions
Wirtinger's_inequality_for_functions
Mathematical operation
transform, and the theory of the gamma function and allied special functions. The Mellin transform of a complex-valued function f defined on R + × = ( 0 , ∞ )
Mellin_transform
Vector space of functions in mathematics
and S. Samko, "Characterization of Riesz and Bessel potentials on variable Lebesgue spaces", J. Function Spaces Appl. 4 (2006), no. 2, 113–144) and Gurka
Sobolev_space
Numerical method for solving physical or engineering problems
such an analysis, we will not use this notation. Interpolation of a Bessel function To complete the discretization, we must select a basis of V {\displaystyle
Finite_element_method
Function in quantum field theory showing probability amplitudes of moving particles
_{xy}^{2}}})&\tau _{xy}^{2}<0.\end{cases}}} Here, H1(1) is a Hankel function and K1 is a modified Bessel function. This expression can be derived directly from the field
Propagator
Arbitrary-precision calculator supporting interactive and scripted use
contains functions for calculating sine, cosine, arctangent, natural logarithm, the exponential function and the two parameter Bessel function J. Most
Bc_(programming_language)
Property of an optical fiber
single-mode operation, it is required that V < 2.4048, the first root of the Bessel function J0. Abbe number This article incorporates public domain material from
Normalized frequency (fiber optics)
Normalized_frequency_(fiber_optics)
Type of functions, in mathematical analysis
derangements. Hypergeometric functions, Bessel functions, and classical orthogonal polynomials, in addition to being holonomic functions of their variable, are
Holonomic_function
Noncentral generalization of the chi-squared distribution
{\lambda x}})} where I ν ( y ) {\displaystyle I_{\nu }(y)} is a modified Bessel function of the first kind given by I ν ( y ) = ( y / 2 ) ν ∑ j = 0 ∞ ( y 2
Noncentral chi-squared distribution
Noncentral_chi-squared_distribution
Function defined by a hypergeometric series
b;c;b^{-1}z)} so all functions that are essentially special cases of it, such as Bessel functions, can be expressed as limits of hypergeometric functions. These include
Hypergeometric_function
System of complete and orthogonal polynomials
}{2t}}}J_{n+{\frac {1}{2}}}(t)P_{n}(x)} where J {\displaystyle J} is the Bessel function of the first kind. As discussed above, the Legendre polynomials obey
Legendre_polynomials
Form of sound synthesis
( β ) {\displaystyle J_{n}(\beta )\,} is n {\displaystyle n\,} -th Bessel function of first kind, respectively. Additive synthesis Chiptune Digital synthesizer
Frequency modulation synthesis
Frequency_modulation_synthesis
Expansion of exponentials of trigonometric functions in the basis of their harmonics
J n ( z ) {\displaystyle J_{n}(z)} is the n {\displaystyle n} -th Bessel function of the first kind and i {\displaystyle i} is the imaginary unit, i
Jacobi–Anger_expansion
Function in statistics
{\displaystyle a,\nu >0} and I ν − 1 {\displaystyle I_{\nu -1}} is the modified Bessel function of first kind of order ν − 1 {\displaystyle \nu -1} . If b > 0 {\displaystyle
Marcum_Q-function
Operation on formal power series
{\displaystyle I_{0}(z)} denotes a modified Bessel function, ! n {\displaystyle !n} denotes the subfactorial function, af ( n ) {\displaystyle \operatorname
Generating function transformation
Generating_function_transformation
Probability distribution
instance of the hypergeometric function. For information on its inverse cumulative distribution function, see quantile function § Student's t-distribution
Student's_t-distribution
American physicist
abstruse mathematics. Why cloud the charm of a Chladni plate with a Bessel function? Miller's on-air popularity was due to an enthusiasm not normally associated
Julius_Sumner_Miller
an E-function. The exponential function is an E-function, in its case cn = 1 for all of the n. If λ is an algebraic number then the Bessel function Jλ is
E-function
Type of queue model in queueing theory
}})&t>0\\0&{\text{otherwise}}\end{cases}}} where I1 is a modified Bessel function of the first kind, obtained by using Laplace transforms and inverting
M/M/1_queue
Differential equation important in physics
an angular component that is a trigonometric function of the polar angle θ, multiplied by a Bessel function (of integer order) of the radial component.
Wave_equation
C standard library header file
operations are a group of functions in the standard library of the C programming language implementing basic mathematical functions. Different C standards
C_mathematical_functions
Mathematical function
\|\mathbf {x} -\mathbf {x} '\|}},} with J 1 {\displaystyle J_{1}} a Bessel function of the first kind, from which we may derive that N = ∑ α = 1 ∞ λ α
Slepian_function
Probability distribution
{\displaystyle v=(2-k)/2} and K v {\displaystyle K_{v}} is the modified Bessel function of the second kind. In the correlated bivariate case, i.e., k = 2,
Multivariate Laplace distribution
Multivariate_Laplace_distribution
Topics referred to by the same term
J0 may refer to: j 0 {\displaystyle j_{0}} , Zeroth order Bessel function of the first kind Yo, often written as j0 in Leet J00 (disambiguation) JO (disambiguation)
J0
Real function on a Euclidean space whose value depends only on distance from the origin
Fourier transform decays faster than R−(n−1)/2. The Bessel functions are a special class of radial function that arise naturally in Fourier analysis as the
Radial_function
material Spherical Bessel function of the second kind (uncommon) An integer O represents the order of asymptotic behavior of a function (upper bound); see
Latin letters used in mathematics, science, and engineering
Latin_letters_used_in_mathematics,_science,_and_engineering
Solutions to Laplace's equation
Each function Vn(k) is the product of three terms, each depending on one coordinate alone. The ρ-dependent term is given by Bessel functions (which
Cylindrical_harmonics
Frequency response boundary
_{01}} is the first root of J 0 ( r ) {\displaystyle J_{0}(r)} , the Bessel function of the first kind of order 1. The dominant mode TE11 cutoff frequency
Cutoff_frequency
inequality Bessel potential Bessel potential spaces Bessel process Bessel beam Bessel filter Bessel function Bessel–Maitland function Incomplete Bessel functions
List of things named after Friedrich Bessel
List_of_things_named_after_Friedrich_Bessel
Mathematical potential
In mathematics, the Bessel potential is a potential (named after Friedrich Wilhelm Bessel) similar to the Riesz potential but with better decay properties
Bessel_potential
Integral transform useful in probability theory, physics, and engineering
transform that converts a function of a real variable (usually t {\displaystyle t} , in the time domain) to a function of a complex variable s {\displaystyle
Laplace_transform
Family of continuous probability distributions
{ab}})}}x^{(p-1)}e^{-(ax+b/x)/2},\qquad x>0,} where Kp is a modified Bessel function of the second kind, a > 0, b > 0 and p a real parameter. It is used
Generalized inverse Gaussian distribution
Generalized_inverse_Gaussian_distribution
Product of numbers from 1 to n
Solved Problems in Analysis: As Applied to Gamma, Beta, Legendre and Bessel Functions. Dover Books on Mathematics. Courier Corporation. p. 10. ISBN 978-0-486-78308-6
Factorial
English mathematician
on hypergeometric functions, who introduced the Hahn–Exton q-Bessel function. Exton, Harold (1976), Multiple hypergeometric functions and applications
Harold_Exton
Generalization of the hypergeometric function
terms of the Meijer G-function. Here, γ and Γ are the lower and upper incomplete gamma functions, Jν and Yν are the Bessel functions of the first and second
Meijer_G-function
Mathematical formula involving a given set of operations
Commonly, the basic functions that are allowed in closed forms are nth root, exponential function, logarithm, and trigonometric functions. However, the set
Closed-form_expression
BESSEL FUNCTION
BESSEL FUNCTION
Male
English
Variant spelling of English Russell, RUSSEL means "little red one."
Surname or Lastname
English
English : occupational name for someone who looked after animals, Middle English bester, from beste ‘beast’ (see Best).German : habitational name for someone from a place called Beste.Slovenian (Gorenjska; also Bešter) : probably a derivative of Vester 3, a reduced form of the personal name Silvester. Replacement of initial V- with B- is quite common in Slovenian surnames.
Male
English
Variant spelling of English Bethuel, BETUEL means "God destroys" or "man of God."
Surname or Lastname
English
English : habitational name from Kestle, a place in Cornwall, so named from Cornish castell ‘castle’, ‘village’, ‘rock’.German : habitational name from a place so called in Upper Franconia.Dutch : variant of Kessel.
Male
Yiddish
(הֶעש×ֶעל) Variant spelling of Yiddish Heschel, HESHEL means "deer."
Surname or Lastname
English
English : probably a variant of Ras(s)ell or Razzell (unexplained).German : nickname for a hothead, from Middle High German razzeln ‘to romp’, ‘rampage’.Dutch and Luxembourgois : perhaps from the Germanic personal name Raas, but more probably from French Rossel.
Male
Swiss
, blessed.
Surname or Lastname
English
English : metonymic occupational name for a maker or seller of household vessels, from Middle English vessele, from Old French vessell(e) ‘vessell’.
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : habitational name for someone from Cassel in Nord, France.English : variant spelling of Castle.Americanized or older spelling of German Kassel.
Female
English
Variant spelling of English Bessie, a pet form of Elizabeth, BESSY means "God is my oath."Â
Surname or Lastname
English
English : variant of Bissell 1.
Surname or Lastname
English
English : from Middle English buyscel, busshell, bysshell ‘bushel’, ‘measure of grain’ (Old French boissel, buissel, of Gaulish origin), hence a metonymic occupational name for a grain merchant or factor, one who measured grain. The name may also have been applied to a maker of vessels designed to hold or measure out a bushel.English : from a diminutive of Biss.Respelling of German Biesel, a habitational name from Bisel in Alsace.
Surname or Lastname
English
English : variant of Kessel.Altered spelling of German or Dutch Kessel.
Surname or Lastname
English
English : from a pet form of Jessup.German : probably a topographic name from Czech jes(en) ‘ash tree’.
Female
English
Pet form of English Elizabeth, BESSIE means "God is my oath."Â
Surname or Lastname
English
English : probably a variant of Hazel.variant spelling of German Hessel.
Male
Yiddish
Yiddish pet form of Hebrew Yowceph, YUSSEL means "(God) shall add (another son)."Â
Female
English
Anglicized form of Hebrew Beth-El, BETHEL means "house of God." In the bible, this is the name of an ancient city of the Canaanites, later of the Benjamites.Â
Surname or Lastname
German
German : from a pet form of Hermann.Swedish : variant of Hassel.English : variant of Hazel.Dutch : from a derivative of a Germanic personal name, either from a compound name formed with hadu ‘strife’ as the first element, or from a derivative of Hermann (see Herman) or Hendrik (see Henry 1).
Surname or Lastname
English
English : variant of Kestel.German : from Middle High German kezzel ‘kettle’, ‘cauldron’, hence a metonymic occupational name for a maker of copper cooking vessels, or alternatively a topographic and habitational name, from the same word in the sense ‘(ring-shaped) hollow’.Dutch and Belgian : habitational name from any of the places so named in the Belgian provinces of Antwerp and Limburg or the Dutch province of North Brabant.
BESSEL FUNCTION
BESSEL FUNCTION
Boy/Male
Tamil
Kshantu | கà¯à®·à®¨à®¤à¯à®‚
Patient
Female
Chinese
beautiful autumn.
Boy/Male
Gaelic American
warrior.
Surname or Lastname
English
English : variant spelling of Bridgeman.
Boy/Male
English French
From the villa by the march.
Boy/Male
Buddhist, Indian, Sanskrit
Supporter of Dharma
Girl/Female
Indian
River Yamuna, Success
Male
Hindi/Indian
(हरि) Hindi name HARI means "he who takes away." In Hindu mythology, this is a name borne by Vishnu.
Girl/Female
American, Australian, Danish, Finnish, German, Greek, Latin, Swedish
Gift of God; Goddess; Short Version of Dorothea
Boy/Male
Australian, Christian
Of Laurentum
BESSEL FUNCTION
BESSEL FUNCTION
BESSEL FUNCTION
BESSEL FUNCTION
BESSEL FUNCTION
n.
A quantity that fills a bushel measure; as, a heap containing ten bushels of apples.
n.
Any one of numerous species of Unio, and related fresh-water genera; -- called also river mussel. See Naiad, and Unio.
a.
Inclined upward; as, the basset edge of strata.
a.
Enjoying, or pertaining to, spiritual happiness, or heavenly felicity; as, the blessed in heaven.
a.
Having the slant of a bevel; slanting.
n.
A vessel of the capacity of a bushel, used in measuring; a bushel measure.
imp. & p. p.
of Beset
v. i.
To put forth a tassel or flower; as, maize tassels.
n.
See Weasel.
n.
Fig.: A person regarded as receiving or containing something; esp. (Script.), one into whom something is conceived as poured, or in whom something is stored for use; as, vessels of wrath or mercy.
n.
One who blesses; one who bestows or invokes a blessing.
v. t.
To put into a vessel.
n.
A kind of bur used in dressing cloth; a teasel.
a.
To make less; to reduce; to make smaller, or fewer; to diminish; to lower; to degrade; as, to lessen a kingdom, or a population; to lessen speed, rank, fortune.
v. t.
To cut to a bevel angle; to slope the edge or surface of.
a.
Having jesses on, as a hawk.
n.
See Tassel.
n.
A general name for any hollow structure made to float upon the water for purposes of navigation; especially, one that is larger than a common rowboat; as, a war vessel; a passenger vessel.