An Alpha‐Beta Phase Diagram Representation of the Zeros and Properties of the Mittag‐Leffler Function

John W. Hanneken, B. N. Narahari Achar and David M. Vaught

Advances in Mathematical Physics, 2013, vol. 2013, issue 1

Abstract: A significant advance in characterizing the nature of the zeros and organizing the Mittag‐Leffler functions into phases according to their behavior is presented. Regions have been identified in the domain of α and β where the Mittag‐Leffler functions Eα,β(z) have not only the same type of zeros but also exhibit similar functional behavior, and this permits the establishment of an α‐β phase diagram.

Date: 2013
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https://doi.org/10.1155/2013/421685

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2013:y:2013:i:1:n:421685

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