Short note on a relation between the inverse of the cosine and Carlson's elliptic integral $R_D$

Sharpening and generalizations of Carlson's inequality for the arc cosine function

In this paper, we sharpen and generalize Carlson's double inequality for the arc cosine function.

Sharpening and generalizations of Carlson's double inequality for the arc cosine function

In this paper, we sharpen and generalize Carlson's double inequality for the arc cosine function.

关于一类 Berndt 型积分及相关 Barnes 多重 Zeta 函数

On a Class of Berndt-type Integrals and Related Barnes Multiple Zeta Functions

本文利用围道积分、留数定理及 Jacobi 椭圆函数的级数技术，将仅含双曲余弦的 Berndt 型积分化为规范 Ramanujan 型级数，得到 Γ(1/4) 与 π^{-1/2} 的有理多项式显式表达式，并关联 Barnes 多重 zeta 函数。