A New Identity for Generalized Hypergeometric Functions and Applications
by
Mohammad Masjed-Jamei 1 and Wolfram Koepf 2,*
Mohammad Masjed-Jamei 1 and Wolfram Koepf 2,*
1
Department of Mathematics, K.N.Toosi University of Technology, P.O.Box 16315-1618, 11369 Tehran, Iran
2
Institute of Mathematics, University of Kassel, Heinrich-Plett Str. 40, 34132 Kassel, Germany
*
Author to whom correspondence should be addressed.
Axioms 2019, 8(1), 12; https://doi.org/10.3390/axioms8010012
Received: 19 November 2018 / Revised: 28 December 2018 / Accepted: 14 January 2019 / Published: 18 January 2019
(This article belongs to the Special Issue Mathematical Analysis and Applications II)
We establish a new identity for generalized hypergeometric functions and apply it for first- and second-kind Gauss summation formulas to obtain some new summation formulas. The presented identity indeed extends some results of the recent published paper (Some summation theorems for generalized hypergeometric functions, Axioms, 7 (2018), Article 38).
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Keywords:
generalized hypergeometric functions; Gauss and confluent hypergeometric functions; summation theorems of hypergeometric functions
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MDPI and ACS Style
Masjed-Jamei, M.; Koepf, W. A New Identity for Generalized Hypergeometric Functions and Applications. Axioms 2019, 8, 12.
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