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Some New Formulas for Horn's Hypergeometric Functions H_1, H_2, H_3, H_4, H_5, H_6, and H_7

Research Authors
Ayman Shehata, Shimaa I Moustafa
Research Abstract

The aim of this work is to demonstrate various an interesting recursion formulas, differential recursion formulas, differential operators, integral operators, integration formulas, and generating relations for each of Horn's hypergeometric functions , , , , ,  and  by the contiguous relations of Horn's hypergeometric series. Some interesting special cases of our main results are also constructed.

Research Date
Research Department
Research Journal
Thai Journal of Mathematics
Research Rank
Q4
Research Vol
20
Research Website
http://thaijmath.in.cmu.ac.th/index.php/thaijmath/article/view/4160/354355087
Research Year
2022
Research Pages
1011-1030