Mittag-Leffler Functions, Related Topics and Applications

The 2nd edition of this book is essentially an extended version of the 1st and provides a very sound overview of the most important special functions of Fractional Calculus. It has been updated with material from many recent papers and includes several surveys of important results known before the p...

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Bibliographic Details
Main Authors: Gorenflo, Rudolf, Kilbas, Anatoly A. (Author), Mainardi, Francesco (Author), Rogosin, Sergei (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2020, 2020
Edition:2nd ed. 2020
Series:Springer Monographs in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Preface
  • Introduction
  • Overview on the Mittag-Leffler funtion
  • Classical Mittag-Laffler function
  • Two-parametric Mittag-Leffler functions with three parameters
  • Multi-index and multi-variable Mittag-Leffler functions. - The Classical Wright function. - Applications to solution of fractional order equations. - Applications to deterministic models
  • Applications to stochastic models. - Appendix A. The Eulerian functions
  • Appendix B. Basic of Entire Functions
  • Appendix C. Integral transforms
  • Appendix D. Mellin-Barnes integral. - Appendix E. Elements of Fractional Calculus
  • Appendix F. Higher transcendental functions
  • References
  • Index