Stirling’s Original Asymptotic Series from a Formula Like One of Binet’s and its Evaluation by Sequence Acceleration

DOI10.1080/10586458.2019.1593898OpenAlexW2963076374WikidataQ128044161 ScholiaQ128044161MaRDI QIDQ5070647

Robert M. Corless, Leili Rafiee Sevyeri

Publication date: 14 April 2022

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.05263

zbMATH Keywords

asymptotic seriesStirling's formulasequence accelerationLevin's u-transform

Mathematics Subject Classification ID

Numerical analysis (65-XX) Special functions (33-XX)

Cites Work

• Emerging Tools for Experimental Mathematics
• An Elementary Proof of Binet's Formula for the Gamma Function
• The Matrix Unwinding Function, with an Application to Computing the Matrix Exponential
• On the complexity of calculating factorials
• Computation of the Gamma, Digamma, and Trigamma Functions
• Computing the Principal Branch of log-Gamma
• Gamma and Factorial in the Monthly
• Computing the Gamma Function Using Contour Integrals and Rational Approximations
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