摘要
In this paper,we study the generalized complete(p,q)-elliptic integrals of the first and second kind as an application of generalized trigonometric functions with two parameters,and establish the monotonicity,generalized convexity and concavity of these functions.In particular,some Turán type inequalities are given.Finally,we also show some new series representations of these functions by applying Alzer and Richard's methods.
作者
尹枥
Barkat Ali BHAYO
Nihat Gokhan GOGUS
Li YIN;Barkat Ali BHAYO;Nihat Gokhan GOGUS(College of Science,Binzhou University,Binzhou City 256603,China;Department of Mathematics,Sukkur IBA University,Sindh,Pakistan;Faculty of Natural Sciences Sabanci University,34956 Tuzla/Istanbul,Turkey)
基金
supported by the Natural Science Foundation of Shandong Province (ZR2019QA003 and ZR2018MF023)
by the National Natural Science Foundation of China (11601036)
by the Major Project of Binzhou University (2020ZD02)
