%0 Journal Article
%T 广义GrO¨tzsch环函数的精确界及应用
Sharp Inequalities and Application of the Generalized GrO¨tzsch Ring Function
%A 王飞
%A 周培桂
%A 王晓宇
%J Pure Mathematics
%P 254-258
%@ 2160-7605
%D 2019
%I Hans Publishing
%R 10.12677/PM.2019.93032
%X
本文研究广义Gr？tzsch环函数与一些初等函数组合的单调性，并由此获得新的精确不等式。同时，将所得结果应用于Ramanujan模方程理论，获得广义Hersch-Pfluger偏差函数新的下界。
In this paper, we study some monotonicity properties of certain functions defined in term of gen-eralized Gr？tzsch ring function and some elementary functions, and get new sharp inequalities. Furthermore, we also obtain the lower bound of generalized Hersch-Pfluger distortion function by applying these results in Ramanujan modular equation theory.
%K 广义GrO¨
%K tzsch环函数，精确不等式，Ramanujan模方程，广义Hersch-Pfluger偏差函数
Generalized GrO¨
%K tzsch Ring Function
%K Sharp Inequality
%K Ramanujan Modular Equations
%K Generalized Hersch-Pfluger Distortion Function
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=30067