Asymptotic formulas for sequence factorial of arithmetic progression

Abstract

This note provides asymptotic formulas for approximating the sequence factorial of members of a finite arithmetic progression by using Stirling, Burnside and other more accurate asymptotic formulas for large factorials that have appeared in the literature.

Keywords:

• sequence factorial
• arithmetic progression
• gamma function
• asymptotic formula

Acknowledgements

The author wishes to thank the referees for the helpful comments.