On generalized complete (p,q)-elliptic integrals

2015/06/30 by Bhayo, Barkat Ali, Göğüş, Nihat Gökhan, Yin, Li
#33B99 #33C99 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1507.00031

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.

Related

• On generalized complete elliptic integrals and modular functions
• On a function involving generalized complete (p,q)- elliptic integrals
• On generalized trigonometric functions with two parameters
• A two-parameter generalization of the complete elliptic integral of the second kind
• Turán-Type Inequalities for Gaussian Hypergeometric Functions, and Baricz's Conjecture