Derivation of Gosper's Approximation from a Symmetric Factorial Identity

This preprint presents an original derivation of Gosper’s approximation for n! using a symmetric factorial identity. The approach uses Gamma functions and Taylor expansions to arrive at a compact expression matching Gosper’s result, providing a new analytic perspective.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-06-29
DOI
https://doi.org/10.5281/zenodo.15767132
Primary Topic
Polynomial and algebraic computation
Type
article
Field-Weighted Citation Impact
0.00
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article

Derivation of Gosper's Approximation from a Symmetric Factorial Identity

Zenodo (CERN European Organization for Nuclear Research)
Polynomial and algebraic computation
article

Derivation of Gosper's Approximation from a Symmetric Factorial Identity

article en

Abstract

This preprint presents an original derivation of Gosper’s approximation for n! using a symmetric factorial identity. The approach uses Gamma functions and Taylor expansions to arrive at a compact expression matching Gosper’s result, providing a new analytic perspective.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 58%
Polynomial and algebraic computation
DOIOpen Access PDFOpenAlex
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Derivation of Gosper's Approximation from a Symmetric Factorial Identity · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS