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

Research Authors
Praveen Agarwal, Ayman Shehata, Shimaa I. Moustafa and k. Chakraborty
Research 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 ?1 and ?2. 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, GD and GC of three variables. After that we will establish the differential reclusion relations and dierential operators for GA, GB, GC, GD and GC of three variables, respectively.

Research Department
Research Journal
Proceedings of the Jangjeon Mathematical Society
Research Rank
Q4
Research Vol
24
Research Website
https://jangjeonopen.or.kr/public/upload/1619843945-pjms24-2-8.pdf
Research Year
2021
Research Pages
17