Relation of Some Known Functions in terms of Generalized Meijer  G -Functions | Zendy

Syed Ali Haider Shah | Zendy; Shahid Mubeen | Zendy; Gauhar Rahman | Zendy; Jihad Younis | Zendy

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Relation of Some Known Functions in terms of Generalized Meijer

G

-Functions

Author(s) -

Syed Ali Haider Shah,

Shahid Mubeen,

Gauhar Rahman,

Jihad Younis

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/7032459

Subject(s) - mathematics , product (mathematics) , exponential function , bessel function , trigonometric functions , hyperbolic function , struve function , function (biology) , algebra over a field , discrete mathematics , pure mathematics , mathematical analysis , orthogonal polynomials , classical orthogonal polynomials , gegenbauer polynomials , geometry , evolutionary biology , biology

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, product of exponential and hyperbolic functions, binomial expansion, logarithmic function, and sine integral, with the generalized Meijer G -function. We also prove the product of modified Bessel function of first and second kind in the form of generalized Meijer G -function and solve an integral involving the product of modified Bessel functions.

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