The gamma function and a certain sequence of differences

2021/06/03 by David E. Radford, Radford, David E.
Mathematics · #FOS: Mathematics #Mathematical Approximation and Integration #Mathematical Inequalities and Applications #Mathematical functions and polynomials #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2106.01983

openalex publication_date 2021/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study a sequence of differences related to the problem of finding the smallest factorial n! greater than or equal to aⁿ, where a > 1, using the gamma function.

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