Advances in Mathematical Physics (Jan 2013)
An Alpha-Beta Phase Diagram Representation of the Zeros and Properties of the Mittag-Leffler Function
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 and where the Mittag-Leffler functions have not only the same type of zeros but also exhibit similar functional behavior, and this permits the establishment of an - phase diagram.