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math.CA2017
An accurate approximation formula for gamma function
Zhen-Hang Yang, Jing-Feng Tian
In this paper, we present a very accurate approximation for gamma function: \begin{equation*} Γ\left( x+1\right) \thicksim \sqrt{2πx}\left( \dfrac{x}{e}\right) ^{x}\left( x\sinh \f…
math.CA2017
Two asymptotic expansions for gamma function developed by Windschitl's formula
Zhen-Hang Yang, Jing-Feng Tian
In this paper, we develop Windschitl's approximation formula for the gamma function to two asymptotic expansions by using a little known power series. In particular, for $n\in \mat…