On modifications of the exponential integral with the Mittag-Leffler function
Complex Variables
2020-04-30 v2 Classical Analysis and ODEs
Abstract
In this paper we survey the properties of the Schelkunoff modification of the Exponential integral and we generalize it with the Mittag-Leffler function. So doing we get a new special function (as far as we know) that may be relevant in linear viscoelasticity because of its complete monotonicity properties in the time domain. We also consider the generalized sine and cosine integral functions
Cite
@article{arxiv.1901.10519,
title = {On modifications of the exponential integral with the Mittag-Leffler function},
author = {Francesco Mainardi and Enrico Masina},
journal= {arXiv preprint arXiv:1901.10519},
year = {2020}
}
Comments
16 pages, 4 figures revised version after ERRATUM