An Alpha-Beta Phase Diagram Representation of the Zeros and Properties of the Mittag-Leffler Function. (22nd August 2013)

• Record Type: Journal Article
• Authors: Hanneken, John W.; Achar, B. N. Narahari; Vaught, David M.
• Other Names: Baleanu Dumitru Academic Editor.
• Is Part Of: Advances in mathematical physics. Volume 2013(2013)
• Publication Date: 2013-08-22
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Periodicals; 530.15
• DOI: 10.1155/2013/421685
• Languages: English
• ISSNs: 1687-9120

Abstract

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 ofα andβ where the Mittag-Leffler functionsE α, β ( z ) have not only the same type of zeros but also exhibit similar functional behavior, and this permits the establishment of anα -β phase diagram.