Distribution and Other Properties of Zeros of Mittag-Leffler Functions

ORAL

Abstract

The zeros of the Mittag-Leffler function play a significant role in the solutions of dynamic problems in fractional calculus. For example see the book Fractional Differential Equations by Podlubny, or for a specific application see the fractional oscillator by Achar et. al. Physica A297 (2001) 361-367; A309 (2002) 275-288; A339 (2204) 311-319. Very little, however, is known about these zeros. A summary of the available information about the zeros of Mittag-Leffler functions will be given and new results pertaining to their distribution will be presented.

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Authors

  • John W. Hanneken

    The University of Memphis, University of Memphis

  • B. N. Narahari Achar

    University of Memphis

  • Raymond Puzio

    University of Memphis