Remark On Two Results due to Ramanujan on Hypergeometric Series

2013/02/20 by Medhat A. Rakha, Rakha, Medhat A., Adel K. Ibrahim +3
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Complex Variables (math.CV) #FOS: Mathematics #History and Theory of Mathematics #math.CV

paper · pdf · doi:10.48550/arxiv.1302.4902

arxiv created 2013/02/20 · openalex publication_date 2013/02/20 · arxiv updated 2013/02/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

During the course of verifying the results of Ramanujan on hypergeometric series, Berndt in his notebooks, Part II mentioned corrected forms of two of the Ramanujan's results. The aim of this short research note is to point out that one of the results obtained by Ramanujan is correct (and not of Berndt's result) and the second result (which is slightly differ from Ramanujan's result and Berndt's result) is given here in corrected form.

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