ON GENERALIZED COMPLETE(p,q)-ELLIPTIC INTEGRALS

作     者：Li YIN Barkat Ali BHAYO Nihat Gokhan GOGUS 尹枥;Barkat Ali BHAYO;Nihat Gokhan GOGUS

作者机构：College of ScienceBinzhou UniversityBinzhou City 256603China Department of MathematicsSukkur IBA UniversitySindhPakistan Faculty of Natural Sciences Sabanci University34956 Tuzla/IstanbulTurkey 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2021年第41卷第2期

页      面：475-486页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

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) 

主　　题：Generalized elliptic integrals generalized trigonometric functions Turán type inequalities 

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 *** particular,some Turán type inequalities are ***,we also show some new series representations of these functions by applying Alzer and Richard s methods.