Landen inequalities for special functions

TL;DR

This paper establishes Landen inequalities for various special functions, including hypergeometric and Bessel functions, expanding the theoretical framework and generalizing existing inequalities in the literature.

Contribution

It introduces new Landen inequalities for a broad class of special functions, extending previous results and providing a more comprehensive understanding of their properties.

Findings

Derived new inequalities for hypergeometric functions

Extended Landen inequalities to Bessel and confluent hypergeometric functions

Generalized existing inequalities to broader classes of power series

Abstract

In this paper our aim is to present some Landen inequalities for Gaussian hypergeometric functions, confluent hypergeometric functions, generalized Bessel functions and for general power series. Our main results complement and generalize some known results in the literature.