Results 31 to 40 of about 21,163 (271)

Composition Formula for Saigo Fractional Integral Operator Associated with V-Function

open access: yesJournal of Mathematics, 2022
In this study, we form integral formulas for Saigo’s hypergeometric integral operator involving V-function. Corresponding assertions for the classical Riemann–Liouville (R-L) and Erdélyi–Kober (E-K) fractional integral operator are extrapolated. Also, by
Sunil Chandak   +2 more
doaj   +1 more source

Analysis of GPU Computation of Parabolic, Bessel, Wright and Riemann Zeta Functions [PDF]

open access: yesITM Web of Conferences, 2021
This paper deals with GPU computing of special mathematical functions that are used in Fractional Calculus. The graphics processing unit (GPU) has grown to be an integral part of nowadays’s mainstream computing structures.
Jadhav Ashish A.   +4 more
doaj   +1 more source

Generating Functions for Bessel Functions [PDF]

open access: yesCanadian Journal of Mathematics, 1959
On replacing the parameter n in Bessel's differential equation1.1by the operator y(∂/∂y), the partial differential equation Lu = 0 is constructed, where1.2This operator annuls u(x, y) = v(x)yn if, and only if, v(x) satisfies (1.1) and hence is a cylindrical function of order n.
openaire   +2 more sources

The q-jα Bessel Function [PDF]

open access: yes, 2002
In this paper we study the q-analogue of the jα Bessel function (see (1)) which results after minor changes from the so-called Exton function studied by Koornwinder and Swarttow. Our objective is first to establish, using only the q -Jackson integral and
Bouzeffour, Fethi   +2 more
core   +1 more source

Fourier-Bessel beams of finite energy

open access: yesКомпьютерная оптика, 2021
In this paper, we consider a new type of Bessel beams having Fourier-invariance property and, therefore, called Fourier-Bessel beams. In contrast to the known Bessel beams, these beams have weak side lobes.
V.V. Kotlyar   +3 more
doaj   +1 more source

Asymptotic behavior and zero distribution of polynomials orthogonal with respect to Bessel functions [PDF]

open access: yes, 2015
We consider polynomials P_n orthogonal with respect to the weight J_? on [0,?), where J_? is the Bessel function of order ?. Asheim and Huybrechs considered these polynomials in connection with complex Gaussian quadrature for oscillatory integrals.
Deaño Cabrera, Alfredo   +5 more
core   +1 more source

Turán-Type Inequalities for Bessel, Modified Bessel and Kr ̈tzel Functions

open access: yesJournal of Kufa for Mathematics and Computer, 2018
We establish Turán-type inequalities for Bessel functions, modified Bessel functions, Kr ̈tzel function and Beta function, by using a new form of Cauchy–Bunyakovsky–Schwarz inequality.
Piyush Kumar Bhandari, S. K. Bissu
doaj   +1 more source

Relation of Some Known Functions in terms of Generalized Meijer G-Functions

open access: yesJournal of Mathematics, 2021
The aim of this paper is to prove some identities in the form of generalized Meijer G-function. We prove the relation of some known functions such as exponential functions, sine and cosine functions, product of exponential and trigonometric functions ...
Syed Ali Haider Shah   +3 more
doaj   +1 more source

Some properties of generalized (S, k)-bessel function in two variables [PDF]

open access: yes, 2022
The devotion of this paper is to study the Bessel function of two variables in k-calculus. we discuss the generating function of k-Bessel function in two variables and develop its relations.
Araci, Serkan   +4 more
core   +1 more source

Unified integral associated with the generalized V-function

open access: yesAdvances in Difference Equations, 2020
In this paper, we present two new unified integral formulas involving a generalized V-function. Some interesting special cases of the main results are also considered in the form of corollaries.
S. Chandak   +2 more
doaj   +1 more source

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