On applications of Herglotz-Nevanlinna functions in material sciences, II: extended applications and generalized theory

TL;DR

This paper explores advanced applications of Herglotz-Nevanlinna functions in material sciences, highlighting their roles and presenting generalizations motivated by practical needs in the field.

Contribution

It introduces new generalizations of Herglotz-Nevanlinna functions tailored for material science applications, expanding the theoretical framework.

Findings

Demonstrates diverse applications in material sciences

Provides new generalizations of Herglotz-Nevanlinna functions

Connects theoretical functions with practical applications

Abstract

Part II of the review article focuses on the applications of Herglotz-Nevanlinna functions in material sciences. It presents a diverse set of applications with details and the role of Herglotz-Nevanlinna functions clearly pointed out. This paper is concluded by a collection of existent generalizations of the class of Herglotz-Nevanlinna functions that are motivated by potential applications.