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

علاقة بعض الوظائف المعروفة من حيث وظائف ميجر جي المعممة
Authors: Syed Ali Haider Shah; Shahid Mubeen; Gauhar Rahman; Jihad Younis;

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

Abstract

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.

Keywords

Orthogonal polynomials, Arithmetic of Multiple Zeta Values and Related Functions, Geometry, Evolutionary biology, Convex Functions, Matrix Inequalities and Geometric Means, Mathematical analysis, Orthogonal Polynomials, Gegenbauer polynomials, QA1-939, FOS: Mathematics, Bessel function, Biology, Trigonometric functions, Product (mathematics), Struve function, Algebra over a field, Algebra and Number Theory, Applied Mathematics, Exponential function, Classical orthogonal polynomials, Pure mathematics, Discrete mathematics, Hyperbolic function, Function (biology), Physical Sciences, Mathematics, Hypergeometric Functions

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Top 10%
Average
Average
gold