Next Article in Journal / Special Issue
Fixed Point Results in Partial Symmetric Spaces with an Application
Previous Article in Journal
Relations between Shadowing and Inverse Shadowing in Dynamical Systems
Previous Article in Special Issue
Extended Partial Sb-Metric Spaces
Article Menu

Export Article

Open AccessArticle
Axioms 2019, 8(1), 12; https://doi.org/10.3390/axioms8010012

A New Identity for Generalized Hypergeometric Functions and Applications

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.
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)
Full-Text   |   PDF [217 KB, uploaded 18 January 2019]

Abstract

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). View Full-Text
Keywords: generalized hypergeometric functions; Gauss and confluent hypergeometric functions; summation theorems of hypergeometric functions generalized hypergeometric functions; Gauss and confluent hypergeometric functions; summation theorems of hypergeometric functions
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Masjed-Jamei, M.; Koepf, W. A New Identity for Generalized Hypergeometric Functions and Applications. Axioms 2019, 8, 12.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Axioms EISSN 2075-1680 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top