Results 11 to 20 of about 21,163 (271)

THE GENERALIZED Q-BESSEL MATRIX FUNCTION OF TWO VARIABLES [PDF]

open access: yesمجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020
The Bessel function is probably the best known special function, within pure and applied mathematics. In this paper, we introduce the generalized q-analogue Bessel matrix function of two variables.
Fadhl S. N. Alsarahi
doaj   +3 more sources

Some Fractional Operators with the Generalized Bessel–Maitland Function [PDF]

open access: yesDiscrete Dynamics in Nature and Society, 2020
In this paper, we aim to determine some results of the generalized Bessel–Maitland function in the field of fractional calculus. Here, some relations of the generalized Bessel–Maitland functions and the Mittag-Leffler functions are considered. We develop
R. S. Ali   +5 more
doaj   +2 more sources

Integral transforms involving a generalized k-Bessel function [PDF]

open access: yesDemonstratio 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
doaj   +2 more sources

On one generalization of Bessel function [PDF]

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
In this paper the generalized Bessel function $J_{\mu ,\omega } ( x )$ is introduced. The function $J_{\mu ,\omega } ( x )$ is given as one solution of the following differential equation: $$ x^2{y}''+x{y}'+\left( {x-\mu ^2} \right)\left( {x+\omega ^2 ...
Nina A Virchenko, Maria O Chetvertak
doaj   +2 more sources

Fractional Integral Inequalities concerning Extended Bessel Function in the Kernel [PDF]

open access: yesJournal 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
doaj   +2 more sources

Certain inequalities for the modified Bessel-type function [PDF]

open access: yesJournal of Inequalities and Applications, 2019
We establish some new inequalities for the modified Bessel-type function λν,σ(β)(x) $\lambda _{\nu ,\sigma }^{(\beta )} (x )$ studied by Glaeske et al. [in J. Comput. Appl. Math.
Min-Jie Luo, Ravinder Krishna Raina
doaj   +2 more sources

Generalized Bessel function of Type D [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2008
We write down the generalized Bessel function associated with the root system of type D by means of multivariate hypergeometric series. Our hint comes from the particular case of the Brownian motion in the Weyl chamber of type D.
Nizar Demni
doaj   +2 more sources

Note on modified generalized Bessel function [PDF]

open access: yes, 2023
An attempt is made to define Modified Generalized Bessel Function, and Modified Generalized Bessel Matrix Function.
Patel, Farhatbanu H.   +2 more
core   +1 more source

Double and Square Bessel–Gaussian Beams

open access: yesMicromachines, 2023
We obtain a transform that relates the standard Bessel–Gaussian (BG) beams with BG beams described by the Bessel function of a half-integer order and quadratic radial dependence in the argument.
Eugeny G. Abramochkin   +2 more
doaj   +1 more source

Bounds and algorithms for the K-Bessel function of imaginary order [PDF]

open access: yes, 2013
Using the paths of steepest descent, we prove precise bounds with numerical implied constants for the modified Bessel function of imaginary order and its first two derivatives with respect to the order.
Booker, Andrew R   +5 more
core   +1 more source

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