Finite Series Representation of the Inverse Mittag-Leffler Function

John W. Hanneken and B. N. Narahari Achar

Mathematical Problems in Engineering, 2014, vol. 2014, 1-18

Abstract:

The inverse Mittag-Leffler function 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 and ; specifically, for and for . 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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:252393

DOI: 10.1155/2014/252393

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