Results 31 to 40 of about 5,430,616 (156)

Product Bessel Distributions of the First and Second Kinds

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2007
A new Bessel function distribution is introduced by taking the product of a Bessel function pdf of the first kind and a Bessel function pdf of the second kind. Various particular cases and expressions for moments are derived.
Saralees Nadarajah
doaj   +1 more source

Some Fractional Operators with the Generalized Bessel–Maitland Function

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   +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

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

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

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

Bessel-Maitland Function of Several Variables and its Properties Related to Integral Transforms and Fractional Calculus [PDF]

open access: yes, 2021
In the recent years, various generalizations of Bessel function were introduced and its various properties were investigated by many authors. Bessel-Maitland function is one of the generalizations of Bessel function.
Pandey, Rupakshi M.   +2 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

On the Matrix Versions of Incomplete Extended Gamma and Beta Functions and Their Applications for the Incomplete Bessel Matrix Functions

open access: yesComplexity, 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

Bessel-Bessel laser bullets doing the twist

open access: yes, 2018
Bessel beams carry orbital angular momentum (OAM). Opening up of the Hilbert space of OAM for information coding makes Bessel beams potential candidates for utility in data transfer and optical communication. A laser bullet is the ultra-short and tightly-
Yousef I. Salamin (17496672)
core   +1 more source

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