On extension of the _rR_s,q(α,β,z) function and their q-calculus

2021/04/19 by Ayman Shehata, Shehata, Ayman, Kumar, Dinesh
Mathematics · Physics and Astronomy · #Mathematical functions and polynomials #Advanced Mathematical Identities #Quantum Mechanics and Non-Hermitian Physics

paper · pdf · doi:10.48550/arxiv.2104.09143

Abstract

In this article, we investigate and establish some properties including analytic properties, contiguous relations, differential properties, differential operators, an expansion formula, and simple integrals, integral operators, some fractional integral properties, some new integral representations, the Riemann Liouville fractional q-derivative and q-integral operators of q-analogue of various basic _rR_s,q function by using technique of q-calculus. Certain interesting consequences of the theorem are also discussed by considering some examples.

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