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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 Abstract

The aim of this work is to demonstrate various an interesting recursion formulas, di erential
and integral operators, integration formulas, and in nite summation for each of Horn's hypergeometric
functions H1, H2, H3, H4, H5, H6 and H7 by the contiguous relations of Horn's hypergeometric series.
Some interesting di erent cases of our main consequences are additionally constructed.

Research Authors
Ayman Shehata and Shimaa I. Moustafa
Research Date
Research Department
Research Journal
Thai Journal of Mathematics
Research Pages
1011-1030.
Research Publisher
http://thaijmath.in.cmu.ac.th
Research Rank
Q4
Research Vol
Vol. 20, No. 2
Research Website
http://thaijmath.in.cmu.ac.th/index.php/thaijmath/article/viewFile/4160/354355087
Research Year
2022