25 citations · 90 across the 23 of their papers we have counts for
23 papers
Recurrence relations of coefficients involving hypergeometric function with an application
Zhen-Hang Yang
For , and , let \begin{equation*} U_{θ}\left( x\right) =\left( 1-θx\right) ^{p}F\left(…
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…
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…
Convexity and monotonicity for the elliptic integrals of the first kind and applications
Zhen-Hang Yang, Jingfeng Tian
The elliptic integral and its various generalizations are playing very important and basic role in different branches of modern mathematics. It is well known that they cannot be re…
Very accurate approximations for the elliptic integrals of the second kind in terms of Stolarsky means
Zhen-Hang Yang
For with , the Stolarsky means are defined by% \begin{equation*} S_{p,q}\left(a,b\right) =\left({\dfrac{q(a^{p}-b^{p})}{p(a^{q}-b^{q})}}% \right) ^{1/(p-q)}\text{i…
Some sharp inequalities for the Toader-Qi mean
Zhen-Hang Yang
The Toader-Qi mean of positive numbers and defined by \begin{equation*} TQ\left( a,b\right) =\frac{2}{π}\int_{0}^{π/2}a^{\cos ^{2}θ}b^{\sin ^{2}θ}dθ\end{equation*} is relat…