The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the  V -Function | Zendy

S. Chandak | Zendy; Biniyam Shimelis | Zendy; Nigussie Abeye | Zendy; A. Padma | Zendy

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The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the

V

-Function

Author(s) -

S. Chandak,

Biniyam Shimelis,

Nigussie Abeye,

A. Padma

Publication year - 2021

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2021/9961013

Subject(s) - mathematics , struve function , bessel function , hypergeometric function , function (biology) , exponential function , kernel (algebra) , fractional calculus , calculus (dental) , algebra over a field , pure mathematics , mathematical analysis , gegenbauer polynomials , dentistry , evolutionary biology , medicine , classical orthogonal polynomials , orthogonal polynomials , biology

In the present paper, we establish some composition formulas for Marichev-Saigo-Maeda (MSM) fractional calculus operators with V -function as the kernel. In addition, on account of V -function, a variety of known results associated with special functions such as the Mittag-Leffler function, exponential function, Struve’s function, Lommel’s function, the Bessel function, Wright’s generalized Bessel function, and the generalized hypergeometric function have been discovered by defining suitable values for the parameters.

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