ON GENERALIZATION OF EXPLICIT EXPRESSIONS OF SOME HYBRID TRICOMI FUNCTIONS

ON GENERALIZATION OF EXPLICIT EXPRESSIONS OF SOME HYBRID TRICOMI FUNCTIONS

M. I. Qureshi, M. Ali, D. Ahamad

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Abstract

In this paper, a general quadruple series identity is established. By using general quadruple series identity, a Laurent type hypergeometric generating relation is derived. Certain explicit expressions of some hybrid special functions related to the Tricomi functions introduced by Dattoli et al. and Khan et al. are established as appli- cations.

Keywords

Generalized hypergeometric functions; Laurent type generating relations; Quadruple series identity; Tricomi functions.