Approximation and inequalities for the factorial function related to the Burnside’s formula

Autor: Xu You
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Cubo, Vol 26, Iss 2, Pp 317-326 (2024)
Druh dokumentu: article
ISSN: 0719-0646
DOI: 10.56754/0719-0646.2602.317
Popis: In this paper, we present a continued fraction approximation and some inequalities of the factorial function based on the Burnside's formula. This approximation is fast in comparison with the recently discovered asymptotic series. Finally, some numerical computations are provided for demonstrating the superiority of our approximation over the Burnside's formula and the classical Stirling's series.
Databáze: Directory of Open Access Journals