## On applications of Herglotz-Nevanlinna functions in material sciences. II: Extended applications and generalized theory.(English)Zbl 1500.74059

Español, Malena I. (ed.) et al., Research in mathematics of materials science. Cham: Springer. Assoc. Women Math. Ser. 31, 461-499 (2022).
Summary: 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 chapter is concluded by a collection of existent generalizations of the class of Herglotz-Nevanlinna functions that are motivated by potential applications.
For Part I, see [the authors, ibid. 433–459 (2022; Zbl 1501.74067)].
For the entire collection see [Zbl 1495.74001].

### MSC:

 74S70 Complex-variable methods applied to problems in solid mechanics 74A40 Random materials and composite materials 74Q20 Bounds on effective properties in solid mechanics 74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)

Zbl 1501.74067
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### References:

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