T. Huang

activity

20162018

most citedSharp Approximations for the Ramanujan Constant

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.CV2018★ 1 cited

Sharp Approximations for the Ramanujan Constant

Song-Liang Qiu, Xiao-Yan Ma, Ti-Ren Huang

In this paper, the authors present sharp approximations in terms of sine function and polynomials for the so-called Ramanujan constant (or the Ramanujan $R$ -function) $R (a)$ , by sh…

math.FA2017

Sharp Estimates of the Generalized Euler-Mascheroni Constant

Ti-Ren Huang, Bo-Wen Han, You-Ling Liu +1

Let $a \in (0, \infty)$ , $γ (a)$ be the Generalized Euler-Mascheroni Constant, and let \begin{align*} &x_n=\frac1a+\frac{1}{a+1}+\cdots+\frac{1}{a+n-1}-\ln\frac{a+n}{a},\\ &y_n=\frac…

math.CA2016

Inequalities for Zero-Balanced Gaussian hypergeometric function

Ti-Ren Huang, Xiao-Yan Ma, Xiao-Hui Zhang

In this paper, we consider the monotonicity of certain combinations of the Gaussian hypergeometric functions $F (a - 1, b; a + b; 1 - x^{c})$ and $F (a - 1 - δ, b + δ; a + b; 1 - x^{d})$ on $(0, 1)$ for $δ\in(…