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On the (p, q)-Bessel functions from the view point of the generating function method
Journal article   Peer reviewed

On the (p, q)-Bessel functions from the view point of the generating function method

Ayman Shehata
Journal of interdisciplinary mathematics, Vol.23(7), pp.1435-1448
02/10/2020
DOI: https://doi.org/10.1080/09720502.2020.1761046

Abstract

(p, q)-Bessel functions (p, q)-Calculus (p, q)-Differentiation (p, q)-Exponential function
Motivated by recent investigations, the main object of this paper is to construct the new (p, q)-analogy definitions of the various families of (p, q)-Bessel functions using the generating function method as a starting point. We derive the explicit representations, especially differential recurrence relations and these classes results of the (p, q)-Bessel functions.

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