On some recursion relations for horn’s hypergeometric functions of three variables

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On some recursion relations for horn’s hypergeometric functions of three variables

Year : 2021

Publisher : Jangjeon Research Institute for Mathematical Sciences and Physics

Source Title : Proceedings of the Jangjeon Mathematical Society

Document Type :

Abstract

The principal aim of this paper to study the recursion formulas for the Horns hypergeometric functions of three variables. Earlier in [Shehata, A.; and Moustafa, S.I. Some new results for Horn’s hypergeometric functions Ti and IV Journal of Mathematics and Computer Science, (2021), 23 (1), 26-35.], and Pathan et al. [Pathan, M.A.; Shehata, A.; and Moustafa, S.I. Certain new formulas for the Horns hypergeometric functions. Acta Uni-versitatis Apulensis, (2020)] have studied the new results for Horns hypergeometric functions. Motivated by the above works here we will derive some contiguous relation for the families of Horn hypergeometric functions Ga, Gb, Gc, Gdand G∗cof three variables. After that we will establish the differential reclusion relations and differential operators for Ga, Gb, Gc, Gdand G∗c, of three variables, respectively.