3 papers
math.GM2023
Monotonicity rules for the ratio of two function series and two integral transforms
Zhong-Xuan Mao, Jing-Feng Tian
In this paper, we investigate the monotonicity of the functions and $x \mapsto \frac{\int_α^βf(t) w(t,…
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…