Yin, Li and Bhayo, Barkat Ali and Göğüş, Nihat Gökhan (2021) On generalized complete (p, q)-elliptic integrals. Acta Mathematica Scientia, 41 (2). pp. 475-486. ISSN 0252-9602 (Print) 1572-9087 (Online)
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Official URL: https://dx.doi.org/10.1007/s10473-021-0211-4
Abstract
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | 33B99; 33C99; Generalized elliptic integrals; generalized trigonometric functions; Turán type inequalities |
| Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |
| Depositing User: | Nihat Gökhan Göğüş |
| Date Deposited: | 18 Aug 2022 20:43 |
| Last Modified: | 18 Aug 2022 20:43 |
| URI: | https://research.sabanciuniv.edu/id/eprint/43290 |
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