Commun. Korean Math. Soc. 2023; 38(3): 807-819
Online first article April 24, 2023 Printed July 31, 2023
https://doi.org/10.4134/CKMS.c220217
Copyright © The Korean Mathematical Society.
Asmaa Orabi Mohammed, Medhat Ahmed Rakha, Arjun K. Rathie
Suez Canal University; Suez Canal University; Village: Tulsi, Post: Jakhmund, District: BUNDI-323021
In 2019, Mathur and Solanki \cite{7,8} obtained a few transformation formulas for Appell, Horn and the Kamp\'{e} de F\'{e}riet functions. Unfortunately, some of the results are well-known and very old results in literature while others are erroneous. Thus the aim of this note is to provide the results in corrected forms and some of the results have been written in more compact form.
Keywords: Hypergeometric function, Kummer's second theorem, contiguous results, Appell's series, Horn's function, Kamp\'{e} de F\'{e}riet function
MSC numbers: Primary 33B15, 33C05, 33C15; Secondary 33C65, 33C20
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