Two asymptotic expansions for gamma function developed by Windschitl’s formula

Abstract

In this paper we develop Windschitl’s approximation formula for the gamma function by giving two asymptotic expansions using a little known power series. In particular, for n ∈ ℕ with n ≥ 4, we have

Keywords

• gamma function
• windschitl’s formula
• asymptotic expansion
• 33b15
• 41a60
• 41a10
• 41a20