Results 21 to 30 of about 167,522 (285)
Some Fractional Operators with the Generalized Bessel–Maitland Function
Discrete 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
Composition Formula for Saigo Fractional Integral Operator Associated with V-Function
Journal 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
Bessel function expansions of Coulomb wave functions [PDF]
, 1985 From the convergence properties of the expansion of the function Φ_l∝r^(−l−1)F_l in powers of the energy, we successively obtain the expansions of F_l and G_l as single series of modified Bessel functions I_(2l+1+n) and K_(2l+1+n), respectively, as well ...
Humblet, J.
core +1 more source
Fourier-Bessel beams of finite energy
Компьютерная 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
Analysis of GPU Computation of Parabolic, Bessel, Wright and Riemann Zeta Functions [PDF]
ITM 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
Nature, 1899 I ONCE stated that a good style of writing English is not a strong point amongst British mathematicians, and the justice of this remark is exemplified by Prof. Hill's letter on this subject (NATURE, July 8), since it contains the phrases Meissel's tables, Smith's tables, Aldis' tables, Isherwood's tables, which are correct; and Bessel functions ...
openaire +5 more sources
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
doaj +1 more source
AIMS Mathematics, 2020 The aim of this paper is to establish an (presumably new) extension of generalized Bessel-Maitland function by using the extension of extended beta function.
D. L. Suthar +4 more
doaj +1 more source
Relation of Some Known Functions in terms of Generalized Meijer G-Functions
Journal 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
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
doaj +1 more source