On applications of Herglotz-Nevanlinna functions in material sciences, II: extended applications and generalized theory
О применении функций Герлоца–Неванлинны в материаловедении, II: расширенные приложения и обобщённая теория
2022-02-26
SCID: 54.1/af8tmgz8
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Abstract (AI)
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.
Key Findings
1
It presents a diverse collection of material-science applications involving Herglotz–Nevanlinna functions rather than focusing on a single application area.
2
The paper concludes by compiling existing generalizations of Herglotz–Nevanlinna functions motivated by potential applications.
3
The review surveys extended applications of Herglotz–Nevanlinna functions across material sciences, explicitly clarifying their role in each application.
4
These generalizations broaden the theoretical framework beyond the standard Herglotz–Nevanlinna function class for prospective material-science use.
Research Object
Herglotz-Nevanlinna functions and their generalizations in material-science applications
Research Subject
The roles and applications of Herglotz-Nevanlinna functions, including generalized classes motivated by potential applications
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2022-02-26
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