Results 21 to 30 of about 163,678 (245)
On spherical Bessel functions [PDF]
Transactions of the American Mathematical Society, 1965 In [1] solutions were obtained for certain second order linear differential equations with polynomial coefficients in terms of generalized Rodrigues' formulas and iterated indefinite integrals. The purpose of this paper is to apply these results to the Bessel equation.
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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
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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
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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
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Recursive algorithm for arrays of generalized Bessel functions: Numerical access to Dirac-Volkov solutions [PDF]
, 2009 In the relativistic and the nonrelativistic theoretical treatment of moderate and high-power laser-matter interaction, the generalized Bessel function occurs naturally when a Schr\"odinger-Volkov and Dirac-Volkov solution is expanded into plane waves ...
Jentschura, Ulrich D., Lötstedt, Erik
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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
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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
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Turán-Type Inequalities for Bessel, Modified Bessel and Kr ̈tzel Functions
Journal 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
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Unified integral associated with the generalized V-function
Advances 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
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Complexity, 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
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