Note on an Identity of Ramanujan

We extend a summation identity involving the Pochhammer symbol published by Ramanujan in 1915 in the problem section of the “Journal of the Indian Mathematical Society”. Moreover, we offer some applications of our theorem. Among others, we present a new series representation for 1/π.

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Publication Details

Journal
Mathematics
Published
2025-10-29
DOI
https://doi.org/10.3390/math13213453
Primary Topic
Advanced Mathematical Identities
Type
article
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article

Note on an Identity of Ramanujan

Horst Alzer
Mathematics
Advanced Mathematical Identities
article

Note on an Identity of Ramanujan

Horst Alzer
article en

Abstract

We extend a summation identity involving the Pochhammer symbol published by Ramanujan in 1915 in the problem section of the “Journal of the Indian Mathematical Society”. Moreover, we offer some applications of our theorem. Among others, we present a new series representation for 1/π.

MathematicsVol. 13(21)
Wala Heilmittel (Germany) (DE)
Openalex Percentile: Top 61%
Advanced Mathematical Identities
DOIOpen Access PDFOpenAlex
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Note on an Identity of Ramanujan — Horst Alzer · Mathematics (2025) | TGRS Research Map | TGRS