论文标题

Mittag-Leffler的开拓者在介电和机械放松过程中起作用

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

论文作者

Mainardi, Francesco, Consiglio, Armando

论文摘要

我们从对Mittag-Leffler功能的基本属性进行简短调查开始。然后,我们关注这些功能的关键作用,以解释介电和粘弹性体中发生的后效应和弛豫现象。为此,我们回想起了两名先驱者在1930年代的1940年代以前讨论的主要方面,我们已经与Harold T. Davis和Bernhard Gross一起确定了他们。

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.

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