General series identities, some additive theorems on hypergeometric functions and their applications

2019/02/15 by Mohammad Idris Qureshi, Qureshi, Mohammad Idris, Saima Jabee +3
Mathematics · #33BXX #33EXX #Advanced Mathematical Identities #FOS: Mathematics #Fractional Differential Equations Solutions #General Mathematics (math.GM) #Mathematical functions and polynomials #Primary 33C20 #Secondary 11B83 #math.GM #msc:11B83 #msc:33BXX #msc:33C20 #msc:33EXX

paper · pdf · doi:10.48550/arxiv.1902.06690

15 pages

arxiv created 2019/02/15 · openalex publication_date 2019/02/15 · arxiv updated 2019/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Motivated by the substantial development of the special functions, we contribute to establish some rigorous results on the general series identities with bounded sequences and hypergeometric functions with different arguments, which are generally applicable in nature. For the application purpose, we apply our results to some functions e.g. Trigonometric functions, Elliptic integrals, Dilogarithmic function, Error function, Incomplete gamma function, and many other special functions.

Related

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• (P,Q)-Special Functions
• GG-functions and their relations to A-hypergeometric functions
• On a new result for the hypergeometric function
• On a strange evaluation of the hypergeometric series by Gosper. II