Original Handwritten Derivation of a Novel Hypergeometric Series Representation for Catalan's Constant

This document contains an original handwritten derivation I developed in 2022 of a novel infinite series involving gamma functions and factorials that converges to Catalan’s constant G. After cross-checking against major references (Abramowitz & Stegun, Gradshteyn & Ryzhik, Slater), I found no matching identity. This upload serves to formally document authorship and establish a timestamp through a DOI. A typeset version with full derivation and analysis will be added in a subsequent version.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-06-17
DOI
https://doi.org/10.5281/zenodo.15679406
Primary Topic
Biosensors and Analytical Detection
Type
article
Field-Weighted Citation Impact
0.00
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article

Original Handwritten Derivation of a Novel Hypergeometric Series Representation for Catalan's Constant

Zenodo (CERN European Organization for Nuclear Research)
Biosensors and Analytical Detection
article

Original Handwritten Derivation of a Novel Hypergeometric Series Representation for Catalan's Constant

article en

Abstract

This document contains an original handwritten derivation I developed in 2022 of a novel infinite series involving gamma functions and factorials that converges to Catalan’s constant G. After cross-checking against major references (Abramowitz & Stegun, Gradshteyn & Ryzhik, Slater), I found no matching identity. This upload serves to formally document authorship and establish a timestamp through a DOI. A typeset version with full derivation and analysis will be added in a subsequent version.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 56%
Biosensors and Analytical Detection
DOIOpen Access PDFOpenAlex
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Original Handwritten Derivation of a Novel Hypergeometric Series Representation for Catalan's Constant · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS