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The Two-Parametric Mittag-Leffler Function

  • Rudolf Gorenflo
  • Anatoly A. Kilbas
  • Francesco Mainardi
  • Sergei V. Rogosin
Chapter
Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

In this chapter we present the basic properties of the two-parametric Mittag-Leffler function E α, β (z) (see ( 1.0.3)), which is the most straightforward generalization of the classical Mittag-Leffler function E α (z) (see ( 3.1.1)).

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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Rudolf Gorenflo
    • 1
  • Anatoly A. Kilbas
    • 2
  • Francesco Mainardi
    • 3
  • Sergei V. Rogosin
    • 4
  1. 1.Free University Berlin Mathematical InstituteBerlinGermany
  2. 2.Belarusian State University Department of Mathematics and MechanicsMinskBelarus
  3. 3.University of Bologna Department of PhysicsBolognaItaly
  4. 4.Belarusian State University Department of EconomicsMinskBelarus

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