Results 11 to 20 of about 16,612,164 (345)
A Novel Computational Tool for the Fractional-Order Special Functions Arising from Modeling Scientific Phenomena via Abu-Shady-Kaabar Fractional Derivative. [PDF]
Comput Math Methods Med, 2022 Recently, a generalized fractional derivative formulation, known as Abu-Shady–Kaabar fractional derivative, is studied in detail which produces satisfactory results that are consistent with conventional definitions of fractional derivative such as Caputo
Abu-Shady M, Kaabar MKA.
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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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Hadamard and Fejér-Hadamard inequalities for extended generalized fractional integrals involving special functions. [PDF]
J Inequal Appl, 2018 In this paper we prove the Hadamard and the Fejér–Hadamard inequalities for the extended generalized fractional integral operator involving the extended generalized Mittag-Leffler function.
Kang SM, Farid G, Nazeer W, Tariq B.
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Addition formulas for q-special functions [PDF]
, 1995 A general addition formula for a two-parameter family of Askey-Wilson polynomials is derived from the quantum $SU(2)$ group theoretic interpretation. This formula contains most of the previously known addition formulas for $q$-Legendre polynomials as ...
Erik Koelink
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Groups, Special Functions and Rigged Hilbert Spaces [PDF]
Axioms, 2019 We show that Lie groups and their respective algebras, special functions and rigged Hilbert spaces are complementary concepts that coexist together in a common framework and that they are aspects of the same mathematical reality.
Enrico Celeghini +2 more
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Special functions and twisted $L$-series [PDF]
, 2016 We introduce a generalization of the Anderson-Thakur special function, and we prove a rationality result for several variable twisted $L$-series associated to shtuka ...
Anglès, Bruno +2 more
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Close-to-Convexity of Some Special Functions and Their Derivatives [PDF]
, 2015 In this paper our aim is to deduce some sufficient (and necessary) conditions for the close-to-convexity of some special functions and their derivatives, like Bessel functions, Struve functions, and a particular case of Lommel functions of the first kind,
Árpád Baricz, Róbert Szász
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Mathematical Methods in the Earth and Environmental Sciences, 2019 If you are searching for a ebook by Sergei Yu. Slavyanov;Wolfgang Lay Special Functions: A Unified Theory Based on Singularities (Oxford Mathematical Monographs) in pdf form, then you've come to correct website. We present utter variation of this book in
Sergei Yu, SlavyanovWolfgang Lay
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Special Functions of Fractional Calculus in the Form of Convolution Series and Their Applications [PDF]
Mathematics, 2021 In this paper, we first discuss the convolution series that are generated by Sonine kernels from a class of functions continuous on a real positive semi-axis that have an integrable singularity of power function type at point zero.
Yuri Luchko
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Incomplete exponential type of R-matrix functions and their properties
AIMS Mathematics, 2023 In the present paper, we establish the incomplete exponential type (IEF) of $ R $-matrix functions and identify some properties of the incomplete exponential matrix functions including integral representation, some derivative formula and generating ...
Ahmed Bakhet , Mohra Zayed
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