Finite Series Representation of the Inverse Mittag-Leffler Function
- John W. Hanneken
- B. N. Narahari Achar
Publication date
January 2014
DOI Publisher
Hindawi Limited ISSN
1024-123X Journal
issn:1024-123X Citation count (estimate)
1Abstract
The inverse Mittag-Leffler function Eα,β-1z is valuable in determining the value of the argument of a Mittag-Leffler function given the value of the function and it is not an easy problem. A finite series representation of the inverse Mittag-Leffler function has been found for a range of the parameters α and β; specifically, 0<α<1/2 for β=1 and for β=2. This finite series representation of the inverse Mittag-Leffler function greatly expedites its evaluation and has been illustrated with a number of examples. This represents a significant advancement in the understanding of Mittag-Leffler functions
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