Fractional Hypergeometric Functions

Shilpi Jain; Carlo Cattani; Praveen Agarwal

doi:10.3390/sym14040714

Fractional Hypergeometric Functions

Shilpi Jain
, Carlo Cattani
, Praveen Agarwal

Nonlinear Dynamic Research Centre (NDRC)

Poornima College of Engineering
Tuscia University
International College of Engineering

Research output: Contribution to journal › Review article › peer-review

8 Scopus citations

Abstract

The fractional calculus of special functions has significant importance and applications in various fields of science and engineering. Here, we aim to find the fractional integral and differential formulas of the extended hypergeometric-type functions by using the Marichev–Saigo–Maeda operators. All the outcomes presented here are of general attractiveness and can yield a number of previous works as special cases due to the high degree of symmetry of the involved functions.

Original language	English
Article number	714
Journal	Symmetry
Volume	14
Issue number	4
DOIs	https://doi.org/10.3390/sym14040714
State	Published - Apr 2022

Keywords

extended hypergeometric function
fractional integral and differential operators
gamma function
pochhammer symbol

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10.3390/sym14040714

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abstract = "The fractional calculus of special functions has significant importance and applications in various fields of science and engineering. Here, we aim to find the fractional integral and differential formulas of the extended hypergeometric-type functions by using the Marichev–Saigo–Maeda operators. All the outcomes presented here are of general attractiveness and can yield a number of previous works as special cases due to the high degree of symmetry of the involved functions.",

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AU - Jain, Shilpi

AU - Cattani, Carlo

AU - Agarwal, Praveen

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N2 - The fractional calculus of special functions has significant importance and applications in various fields of science and engineering. Here, we aim to find the fractional integral and differential formulas of the extended hypergeometric-type functions by using the Marichev–Saigo–Maeda operators. All the outcomes presented here are of general attractiveness and can yield a number of previous works as special cases due to the high degree of symmetry of the involved functions.

AB - The fractional calculus of special functions has significant importance and applications in various fields of science and engineering. Here, we aim to find the fractional integral and differential formulas of the extended hypergeometric-type functions by using the Marichev–Saigo–Maeda operators. All the outcomes presented here are of general attractiveness and can yield a number of previous works as special cases due to the high degree of symmetry of the involved functions.

KW - extended hypergeometric function

KW - fractional integral and differential operators

KW - gamma function

KW - pochhammer symbol

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Fractional Hypergeometric Functions

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Keywords

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