Mittag-Leffler Functions and Their Applications
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-Leffle...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/298628 |
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| author | H. J. Haubold A. M. Mathai R. K. Saxena |
| author_facet | H. J. Haubold A. M. Mathai R. K. Saxena |
| author_sort | H. J. Haubold |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-57320e4b40624544a37042bf5ed8c8d4 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-57320e4b40624544a37042bf5ed8c8d42025-02-03T01:04:53ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/298628298628Mittag-Leffler Functions and Their ApplicationsH. J. Haubold0A. M. Mathai1R. K. Saxena2Office for Outer Space Affairs, United Nations, Vienna International Centre, P.O. Box 500, 1400 Vienna, AustriaDepartment of Mathematics and Statistics, McGill University, Montreal, QC, H3A 2K6, CanadaDepartment of Mathematics and Statistics, Jai Narain Vyas University, Jodhpur 342005, IndiaMotivated 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.http://dx.doi.org/10.1155/2011/298628 |
| spellingShingle | H. J. Haubold A. M. Mathai R. K. Saxena Mittag-Leffler Functions and Their Applications Journal of Applied Mathematics |
| title | Mittag-Leffler Functions and Their Applications |
| title_full | Mittag-Leffler Functions and Their Applications |
| title_fullStr | Mittag-Leffler Functions and Their Applications |
| title_full_unstemmed | Mittag-Leffler Functions and Their Applications |
| title_short | Mittag-Leffler Functions and Their Applications |
| title_sort | mittag leffler functions and their applications |
| url | http://dx.doi.org/10.1155/2011/298628 |
| work_keys_str_mv | AT hjhaubold mittaglefflerfunctionsandtheirapplications AT ammathai mittaglefflerfunctionsandtheirapplications AT rksaxena mittaglefflerfunctionsandtheirapplications |