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

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  • John W. Hanneken
  • B. N. Narahari Achar
  • David M. Vaught

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.

Suggested Citation

  • John W. Hanneken & B. N. Narahari Achar & David M. Vaught, 2013. "An Alpha-Beta Phase Diagram Representation of the Zeros and Properties of the Mittag-Leffler Function," Advances in Mathematical Physics, Hindawi, vol. 2013, pages 1-13, August.
  • Handle: RePEc:hin:jnlamp:421685
    DOI: 10.1155/2013/421685
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