Results 41 to 50 of about 21,163 (271)
Complexity, 2021 In this paper, we first introduce the incomplete extended Gamma and Beta functions with matrix parameters; then, we establish some different properties for these new extensions. Furthermore, we give a specific application for the incomplete Bessel matrix
Chaojun Zou +3 more
doaj +1 more source
Unified Bessel, Modified Bessel, Spherical Bessel and Bessel-Clifford Functions
, 2016 In the present paper, unification of Bessel, modified Bessel, spherical Bessel and Bessel-Clifford functions via the generalized Pochhammer symbol [ Srivastava HM, Cetinkaya A, Kıymaz O. A certain generalized Pochhammer symbol and its applications to hypergeometric functions. Applied Mathematics and Computation, 2014, 226 : 484-491] is defined. Several
Yasar, Banu Yilmaz, Ozarslan, Mehmet Ali
openaire +3 more sources
Applied Mathematics Letters, 2013 We use the operator method to evaluate a class of integrals involving Bessel or Bessel-type functions. The technique we propose is based on the formal reduction of these family of functions to Gaussians.
D. Babusci +4 more
openaire +3 more sources
Vortex laser beams with complex amplitude proportional to the product of two Bessel functions
Компьютерная оптикаThe optical vortices with the complex amplitude which is presented by the product of the Gaussian function and two Bessel functions with a complex root dependence of the arguments on the cylindrical coordinates and a constant parameter that determines ...
V.V. Kotlyar +3 more
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, 1988 A formula of inversion is established for an integral transform whose kernel is the Bessel function Ju(kr) where r varies over the finite interval (0,a) and the order u is taken to be the eigenvalue parameter.
D. Naylor
doaj +1 more source
Nexo, 2010 En este trabajo se obtiene la inversión de un operador del tipo convolución usando técnicas de integrales hipersingulares. El operador de Bessel-Riesz de una función ϕ perteneciente a S , el espacio de funciones de prueba de Schwartz, es definido por la ...
Ruben Alejandro Cerutti
doaj +1 more source
A Bessel function inequality [PDF]
, 1978 SynopsisThis paper proves some inequalities for the imaginary part of the transcendental function in a simply connected sector of the complex z-plane, where 0 < v < 1, and part of the boundary depends on v.
A. D. Rawlins
core +1 more source
On Maitland's Generalised Bessel Function [PDF]
, 1968 Maitland's generalised Bessel function [4] is defined by the equationwhere u is real and positive and v is any number real or complex.
Y.P. Singh, T.N. Srivastava
core +1 more source
A method for computing Bessel function integrals [PDF]
, 1972 Infinite integrals involving Bessel functions are recast, by means of an Abel transform, in terms of Fourier integrals. As there are many efficient numerical methods for computing Fourier integrals, this leads to a convenient way of approximating Bessel ...
Peter Linz
core +1 more source
Partial sums of hyper-Bessel function with applications [PDF]
, 2020 WOS:000514797000032The main purpose of the presented paper is to determine some lower bounds for the quotient of the normalized hyper-Bessel function and its partial sum, as well as for the quotient of the derivative of normalized hyper-Bessel function ...
İbrahim AKTAŞ, Aktaş, İbrahim
core +2 more sources