Stirling’s Formula: Generalization and Improvement

Volume 7, Issue 6, December 2022     |     PP. 119-131      |     PDF (741 K)    |     Pub. Date: December 4, 2022
DOI: 10.54647/mathematics11183    86 Downloads     2501 Views  

Author(s)

Hong-Quan LIU, Department of Mathematics, Harbin Institute of Technology, Harbin, 150006, China

Abstract
The famous Stirling’s formula is generalized and improved, by using the arguments of analytic number theory and mathematical analysis.

Keywords
Stirling’s Formula, Mathematical Analysis, Analytic Number Theory

Cite this paper
Hong-Quan LIU, Stirling’s Formula: Generalization and Improvement , SCIREA Journal of Mathematics. Volume 7, Issue 6, December 2022 | PP. 119-131. 10.54647/mathematics11183

References

[ 1 ] T.M.Apostal, Introduction to Analytic Number Theory, Springer, 1976.
[ 2 ] Г.Фихтенгольц, принцип математического анализа, Ninth Edition,Chapter 15.