Mittag-Leffler functions and their applications
type: Item
instance of: scholarly article
title: Mittag-Leffler functions and their applications
zbMATH Open document ID: 1218.33021
DOI: 10.1155/2011/298628
published in: Journal of Applied Mathematics
publication date: 2011-07-22T00:00:00Z
full work available at URL: https://arxiv.org/abs/0909.0230
review text: Summary: Motivated essentially by the success of the applications of the Mittag-Leffler functions in many areas of science and engineering, the authors present, in a unified manner, a detailed account or rather a brief survey of the Mittag-Leffler function, generalized Mittag-Leffler functions, Mittag-Leffler type functions, and their interesting and useful properties. Applications of G. M. Mittag-Leffler functions in certain areas of physical and applied sciences are also demonstrated. During the last two decades this function has come into prominence after about nine decades of its discovery by a Swedish Mathematician Mittag-Leffler, due to the vast potential of its applications in solving the problems of physical, biological, engineering, and earth sciences, and so forth. In this survey paper, nearly all types of Mittag-Leffler type functions existing in the literature are presented. An attempt is made to present nearly an exhaustive list of references concerning the Mittag-Leffler functions to make the reader familiar with the present trend of research in Mittag-Leffler type functions and their applications.
Mathematics Subject Classification ID: 33E12
zbMATH DE Number: 5930812
Wikidata QID: Q58690307
author: Hans J. Haubold
author: Arakaparampil M. Mathai
author: R. K. Saxena
MaRDI profile type: Publication
OpenAlex ID: W2045350842
arXiv ID: 0909.0230
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Mittag-Leffler functions and their applications (DBLP publication ID)
DBLP publication ID: journals/jam/HauboldMS11