| ON GENERALIZED COMPLETE(p,q)-ELLIPTIC INTEGRALS |
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| 作者姓名： | 尹枥 Barkat Ali BHAYO Nihat Gokhan GOGUS |
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| 作者单位： | College of Science;Department of Mathematics;Faculty of Natural Sciences Sabanci University |
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| 基金项目： | 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) |
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| 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.
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| 关 键 词： | Generalized elliptic integrals generalized trigonometric functions Turán type inequalities |
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