TY - JOUR
T1 - A Study of Extensions of Classical Summation Theorems for the Series 3F2 and 4F3 with Applications
AU - Awad, Mohamed M.
AU - Koepf, Wolfram
AU - Mohammed, Asmaa O.
AU - Rakha, Medhat A.
AU - Rathie, Arjun K.
N1 - Publisher Copyright:
© 2021, The Author(s).
PY - 2021/5
Y1 - 2021/5
N2 - Very recently, Masjed-Jamei & Koepf [Some summation theorems for generalized hypergeometric functions, Axioms, 2018, 7, 38, 10.3390/axioms 7020038] established some summation theorems for the generalized hypergeometric functions. The aim of this paper is to establish extensions of some of their summation theorems in the most general form. As an application, several Eulerian-type and Laplace-type integrals have also been given. Results earlier obtained by Jun et al. and Koepf et al. follow special cases of our main findings.
AB - Very recently, Masjed-Jamei & Koepf [Some summation theorems for generalized hypergeometric functions, Axioms, 2018, 7, 38, 10.3390/axioms 7020038] established some summation theorems for the generalized hypergeometric functions. The aim of this paper is to establish extensions of some of their summation theorems in the most general form. As an application, several Eulerian-type and Laplace-type integrals have also been given. Results earlier obtained by Jun et al. and Koepf et al. follow special cases of our main findings.
KW - Generalized hypergeometric function
KW - classical summation theorems
KW - generalizations and extensions
UR - http://www.scopus.com/inward/record.url?scp=85106332749&partnerID=8YFLogxK
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U2 - 10.1007/s00025-021-01367-9
DO - 10.1007/s00025-021-01367-9
M3 - Article
AN - SCOPUS:85106332749
SN - 1422-6383
VL - 76
JO - Results in Mathematics
JF - Results in Mathematics
IS - 2
M1 - 65
ER -