Some new results for Horn's hypergeometric functions \(\Gamma_{1}\) and \(\Gamma_{2}\)
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Authors
Ayman Shehata
- Department of Mathematics, College of Science and Arts, Qassim University, Unaizah, Qassim, Saudi Arabia.
- Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt.
Shimaa I. Moustafa
- Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt.
Abstract
The object of the present work is to deduce several important developments in various recursion relations, relevant differential recursion formulas, infinite summation formulas, integral representations, and integral operators for Horn's hypergeometric functions \(\Gamma_{1}\) and \(\Gamma_{2}\).
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ISRP Style
Ayman Shehata, Shimaa I. Moustafa, Some new results for Horn's hypergeometric functions \(\Gamma_{1}\) and \(\Gamma_{2}\), Journal of Mathematics and Computer Science, 23 (2021), no. 1, 26--35
AMA Style
Shehata Ayman, Moustafa Shimaa I., Some new results for Horn's hypergeometric functions \(\Gamma_{1}\) and \(\Gamma_{2}\). J Math Comput SCI-JM. (2021); 23(1):26--35
Chicago/Turabian Style
Shehata, Ayman, Moustafa, Shimaa I.. "Some new results for Horn's hypergeometric functions \(\Gamma_{1}\) and \(\Gamma_{2}\)." Journal of Mathematics and Computer Science, 23, no. 1 (2021): 26--35
Keywords
- Horn's functions
- recursion formulas
- infinite summation formulas
- integral operators
MSC
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