Francesco Mainardi, Armando Consiglio, "The Pioneers of the Mittag-Leffler Functions in Dielectrical and Mechanical Relaxation Processes," WSEAS Transactions on Mathematics, vol. 19, pp. 289-300, 2020, DOI:10.37394/23206.2020.19.29
Francesco Mainardi, Armando Consiglio. The Pioneers of the Mittag-Leffler Functions in Dielectrical and Mechanical Relaxation Processes.
WSEAS Transactions on Mathematics. 2020;19:289-300. 10.37394/23206.2020.19.29
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 19, 2020
The Pioneers of the Mittag-Leffler Functions in Dielectrical and Mechanical Relaxation Processes
Authors: ,
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 .
Keywords:
Mittag-Leffler functions, Laplace transforms, Dielectrics, Electrical Circuits, Viscoelasticty, Aftereffect, Relaxation.
Pages: 289-300 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 19, 2020, Art. #29 DOI: 10.37394/23206.2020.19.29
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