On an interesting extension of Kummer's second theorem with applications

DOI10.4134/CKMS.c200147zbMath1479.33001OpenAlexW3132148958MaRDI QIDQ5003102

Arjun K. Rathie, Mohammed Awad, Asmaa O. Mohammed, Medhat A. Rakha

Publication date: 29 July 2021

Full work available at URL: http://koreascience.or.kr/journal/view.jsp?kj=DBSHCJ&py=2021&vnc=v36n1&sp=63

zbMATH Keywords

generalized hypergeometric functionhypergeometric functionKampé de Fériet functiondouble and triple seriesKummer's first and second theorems

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Classical hypergeometric functions, ({}_2F_1) (33C05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On an extension of Kummer's second theorem
• On the reducibility of the Kampé de Fériet function
• Automatic generation of hypergeometric identities by the beta integral method.
• A Kummer-type transformation for a \(_{2}F_{2}\) hypergeometric function
• Some results for terminating \({}_2F_1(2)\) series
• Generalization of two theorems due to Ramanujan
• Generalization of Kummer’s second theorem with applications
• ON THE REDUCIBILITY OF KAMPÉ DE FÉRIET FUNCTION
• Reduction Formulas for Srivastava's Triple Hypergeometric Series F⁽³⁾[x, y, z]
• On a reducibility of the Kampé de Fériet function
• An Integral Representation for the Product of Two Jacobi Polynomials†
• Applications of extended Watson's summation theorem
• An Identity Involving Product of Generalized Hypergeometric Series 2F2
• Reducibility of certain Kampé de Fériet function with an application to generating relations for products of two Laguerre polynomials
• A Note on the Convergence of KAMPÉ DE FÉRIET's Double Hypergeometric Series
• Evaluations of some terminating hypergeometric 2 F 1 (2) series with applications
• EXPANSIONS OF APPELL'S DOUBLE HYPERGEOMETRIC FUNCTIONS
• EXPANSIONS OF APPELL'S DOUBLE HYPER-GEOMETRIC FUNCTIONS (II)

This page was built for publication: On an interesting extension of Kummer's second theorem with applications