The Pioneers of the Mittag-Leffler Functions in Dielectrical and Mechanical Relaxation Processes-Reference-Cited by-同舟云学术

The Pioneers of the Mittag-Leffler Functions in Dielectrical and Mechanical Relaxation Processes

Published:2020-06-08 Issue: Volume:19 Page:289-300
ISSN:1109-2769
Container-title:WSEAS TRANSACTIONS ON MATHEMATICS
language:en
Short-container-title:

Author:

Mainardi Francesco¹,Consiglio Armando²

Affiliation:

1. University Bologna and INFN, Department of Physics and Astronomy, Bologna, ITALY

2. Universitat Wurzburg, Institut fur Theoretische Physik und Astrophysik, Würzburg, GERMANY

Abstract

We start with a short survey of the basic properties of the Mittag-Leffler functions Then we focus on the key role of these functions to explain the after-effects and relaxation phenomena occurring in dielectrics and in viscoelastic bodies. For this purpose we recall the main aspects that were formerly discussed by two pioneers in the years 1930’s-1940’s whom we have identified with Harold T. Davis and Bernhard Gross .

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

General Mathematics

Reference43 articles.

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