Results 11 to 20 of about 3,608 (255)
Unified Approach to Fractional Calculus Images of Special Functions—A Survey
Mathematics, 2020 Evaluation of images of special functions under operators of fractional calculus has become a hot topic with hundreds of recently published papers. These are growing daily and we are able to comment here only on a few of them, including also some of the ...
Virginia Kiryakova
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AIMS Mathematics, 2022 In this paper, we derive an integral transform involving the product of Hermite polynomial $ H_{n}(\beta x) $ and parabolic cylinder function $ D_{v}(\alpha t) $. These integral transforms will be evaluated in terms of Lerch function.
Robert Reynolds, Allan Stauffer
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Moroccan Journal of Pure and Applied Analysis, 2020 In this article, we have derived some integral transforms of the polynomial weighted incomplete H-functions and incomplete ̄H-functions. The obtained image formulas are of general nature and may, as special cases, give rise to integral transforms ...
Meena Sapna +3 more
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Integral transforms involving the product of Humbert and Bessel functions and its application
AIMS Mathematics, 2020 In this paper, we develop some integral transforms involving a product of Humbert and Bessel functions with a weight e-γx2. These integral transforms will be evaluated in terms of hypergeometric functions.
A. Belafhal +3 more
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Computation of certain integral formulas involving generalized Wright function
Advances in Difference Equations, 2020 The aim of the paper is to derive certain formulas involving integral transforms and a family of generalized Wright functions, expressed in terms of the generalized Wright hypergeometric function and in terms of the generalized hypergeometric function as
Nabiullah Khan +4 more
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The Bateman Functions Revisited after 90 Years—A Survey of Old and New Results
Mathematics, 2021 The Bateman functions and the allied Havelock functions were introduced as solutions of some problems in hydrodynamics about ninety years ago, but after a period of one or two decades they were practically neglected. In handbooks, the Bateman function is
Alexander Apelblat +2 more
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Certain fractional formulas of the extended k-hypergeometric functions
Advances in Difference Equations, 2021 In this article, we aim to investigate various formulae for the ( p , k ) $(p,k)$ -analogues of Gauss hypergeometric functions, including the integral transforms and the operators of fractional calculus.
Mohamed Abdalla +4 more
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New Results Involving Riemann Zeta Function Using Its Distributional Representation
Fractal and Fractional, 2022 The relation of special functions with fractional integral transforms has a great influence on modern science and research. For example, an old special function, namely, the Mittag–Leffler function, became the queen of fractional calculus because its ...
Asifa Tassaddiq, Rekha Srivastava
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Abstract and Applied Analysis, 2014 A remarkably large number of integral transforms and fractional integral formulas involving various special functions have been investigated by many authors.
Junesang Choi, Praveen Agarwal
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Certain k-fractional calculus operators and image formulas of k-Struve function
AIMS Mathematics, 2020 In this article, the Saigo’s k-fractional order integral and derivative operators involving k-hypergeometric function in the kernel are applied to the k-Struve function; outcome are expressed in the term of k-Wright function, which are used to present ...
D. L. Suthar +3 more
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