Results 41 to 50 of about 5,430,616 (156)
An integral containing a Bessel Function and a Modified Bessel Function of the First Kind [PDF]
, 2017 Here we discuss the calculation of an integral containing the Bessel function J_0(r) and the modified Bessel function of the first kind I_1(r). The calculus is based on a function of J_0(r), I_1(r) and of their derivatives, having a Wronskian form.
Sparavigna, Amelia Carolina +1 more
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Generalization of the Modified Bessel Function and Its Generating Function [PDF]
, 2005 This paper presents new generalizations of the modified Bessel function and its generating function.
Williams, J. +2 more
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A few properties of the Third Jackson q-Bessel Function
, 2016 The Hahn–Exton (third Jackson) q-Bessel function attracts the attention of many researchers in mathematics. We add a few more properties of this important function, such as some identities and upper bounds involving this function, in relation with the ...
Cardoso, J. L.
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Certain integrals associated with the generalized Bessel-Maitland function [PDF]
, 2017 The aim of this paper is to establish two general finite integral formulas involving the generalized Bessel-Maitland functions Jμ,γν,q (z). The result given in terms of generalized (Wright’s) hypergeometric functions pΨq and generalized hypergeometric ...
Amsalu, Hafte, Suthar, D. L.
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The Extended Bessel-Maitland Function and Integral Operators Associated with Fractional Calculus
Journal of Mathematics, 2020 The aim of this paper is to introduce a presumably and remarkably altered integral operator involving the extended generalized Bessel-Maitland function. Particular properties are considered for the extended generalized Bessel-Maitland function connected ...
Kelelaw Tilahun +2 more
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On one generalization of Bessel function
Vestnik 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
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Integral formula for the Bessel function of the first kind [PDF]
, 2021 In this paper, we prove a new integral representation for the Bessel function of the first kind $J_\mu(z)$. This formula generalizes to any $\mu,z\in\mathbb{C}$ the classical representations of Bessel and Poisson.Comment: 8 pages.
De Micheli, Enrico +2 more
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On a Bessel function series related to the Riemann xi function [PDF]
, 2023 We establish new Fourier integral evaluations involving the Riemann xi function related to a series involving Bessel function of the first kind. We show this infinite series involving the Bessel function of the first kind solves a boundary value problem ...
Patkowski, Alexander E.
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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
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The roots of the third Jackson q-Bessel function [PDF]
, 2002 We derive analytic bounds for the zeros of the third Jackson q-Bessel function Jv(3)(z;q)
Bustoz, J. +5 more
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