On generalized complete $(p,q)$-elliptic integrals

Abstract

In this paper, authors study the generalized complete $(p,q)$-elliptic integrals of the first and the second kind as an application of generalized trigonometric functions with two parameters, and establish the Turán type inequalities of these functions.

13 pages, 1 figure

References in corpus (4)

• Geometric convexity of the generalized sine and the generalized hyperbolic sine
• Legendre-type relations for generalized complete elliptic integrals
• Complete $(p,q)$-elliptic integrals with application to a family of means
• Turán type inequalities for generalized inverse trigonometric functions

Cited by in corpus (3)

• Legendre-type relations for generalized complete elliptic integrals
• Applications of generalized trigonometric functions with two parameters II
• On a function involving generalized complete $(p,q)$- elliptic integrals