Asymptotic expansion of the modified exponential integral involving the Mittag-Leffler function
Classical Analysis and ODEs
2020-02-20 v2
Abstract
We consider the asymptotic expansion of the generalised exponential integral involving the Mittag-Leffler function introduced recently by Mainardi and Masina [{\it Fract. Calc. Appl. Anal.} {\bf 21} (2018) 1156--1169]. We extend the definition of this function using the two-parameter Mittag-Leffler function. The expansions of the similarly extended sine and cosine integrals are also discussed. Numerical examples are presented to illustrate the accuracy of each type of expansion obtained.
Keywords
Cite
@article{arxiv.1910.08957,
title = {Asymptotic expansion of the modified exponential integral involving the Mittag-Leffler function},
author = {R B Paris},
journal= {arXiv preprint arXiv:1910.08957},
year = {2020}
}
Comments
12 pages, 0 figures