Monotonicity properties and bounds for the complete p-elliptic integrals

Abstract

Abstract We generalize several monotonicity and convexity properties as well as sharp inequalities for the complete elliptic integrals to the complete p-elliptic integrals.

Keywords

• Complete elliptic integral
• Complete p-elliptic integral
• Gaussian hypergeometric function
• Monotonicity
• Convexity