Two Approximation Formulas for Gamma Function with Monotonic Remainders

Abstract

In this paper, two new approximation formulas with monotonic remainders for the gamma function have been presented. Also, we present some numerical comparisons between our new approximation formulas and some known ones, which demonstrate the superiority of our results.

Keywords

• gamma function
• approximation formula
• monotonicity
• Psi function
• inequality
• sharp constant