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Integral transforms involving a generalized k-Bessel function
Demonstratio Mathematica, 2023 The main goal of this study was to look into some new integral transformations that are associated with a generalized kk-Bessel function. Integral formulas for the generalized kk-Bessel function have been established using the Laplace transform, Euler ...
Khammash Ghazi S. +4 more
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Fractional kinetic equations involving generalized k-Bessel function via Sumudu transform
Alexandria Engineering Journal, 2018 Principle aim of the present study is to develop fractional kinetic equations involving generalized k-Bessel function via Sumudu transform. Also, the graphical interpretation of the solutions by employing MATLAB is given.
P. Agarwal +4 more
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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
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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
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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
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Kirchhoff Migration for Identifying Unknown Targets Surrounded by Random Scatterers
Applied Sciences, 2019 In this paper, we take into account a two-dimensional inverse scattering problem for localizing small electromagnetic anomalies when they are surrounded by small, randomly distributed electromagnetic scatterers.
Chi Young Ahn +2 more
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On Recovery of the Singular Differential Laplace—Bessel Operator from the Fourier–Bessel Transform
Mathematics, 2023 This paper is devoted to the problem of the best recovery of a fractional power of the B-elliptic operator of a function on R+N by its Fourier–Bessel transform known approximately on a convex set with the estimate of the difference between Fourier–Bessel
Sergey M. Sitnik +3 more
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Green's function for the lossy wave equation
Revista Brasileira de Ensino de FísicaUsing an integral representation for the first kind Hankel (Hankel-Bessel Integral Representation) function we obtain the so-called Basset formula, an integral representation for the second kind modified Bessel function.
R. Aleixo, E. Capelas de Oliveira
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Fractional Integral Inequalities concerning Extended Bessel Function in the Kernel
Journal of Mathematics, 2021 The major purpose of this paper is to use the fractional integral operator in terms of extended generalized Bessel function to estimate new fractional integral inequalities for the extended Chebyshev functional in the sense of synchronous functions.
Arshad Hussain +4 more
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Some Upper Bounds for RKHS Approximation by Bessel Functions
Axioms, 2022 A reproducing kernel Hilbert space (RKHS) approximation problem arising from learning theory is investigated. Some K-functionals and moduli of smoothness with respect to RKHSs are defined with Fourier–Bessel series and Fourier–Bessel transforms ...
Mingdang Tian +2 more
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