The Generalization of Schottky Inequality and Its Applications

TL;DR

This paper generalizes the Schottky inequality using elliptic integrals and demonstrates its applications, expanding its theoretical framework and potential utility.

Contribution

It introduces a new generalized form of the Schottky inequality based on elliptic integral deviation functions.

Findings

Derived a generalized Schottky inequality.

Applied the generalized inequality to relevant problems.

Showed the effectiveness of the generalization in applications.

Abstract

This article used Bloch function to derive Schottky inequality, obtained its generalization by using elliptic integral deviation function and demonstrated its applications.