Explicit representations of some generalized and mixed relatives of the Bessel functions

Main Article Content

Mohammad Idris Qureshi
Mahvish Ali

Abstract

Special functions can be defined in different ways such as Rodrigue's formulae, generating functions, summation formulae, integral representations et cetera, but it is usually shown to be expressible as a series, because this is frequently the most practical way to obtain numerical values for the functions. In this paper, the explicit representations of certain mixed special functions related to the Bessel functions are obtained. A Laurent type hypergeometric generating relation is derived using series rearrangement technique. Some special cases are obtained as generating function of the known mixed type relatives of the Bessel functions. Finally explicit forms of these mixed type special functions are obtained as applications.

Article Details

How to Cite
Qureshi, M. I., & Ali, M. (2022). Explicit representations of some generalized and mixed relatives of the Bessel functions. Gulf Journal of Mathematics, 13(1), 1-14. Retrieved from https://gjom.org/index.php/gjom/article/view/923
Section
Articles