Mittag-Leffler Functions, Related Topics and Applications Theory and Applications /

Mittag-Leffler Functions, Related Topics and Applications Theory and Applications /

As a result of researchers' and scientists' increasing interest in pure as well as applied mathematics in non-conventional models, particularly those using fractional calculus, Mittag-Leffler functions have recently caught the interest of the scientific community. Focusing on the theory of...

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Bibliographic Details
Published in:Springer eBooks
Main Authors: Gorenflo, Rudolf (Author), Kilbas, Anatoly A. (Author), Mainardi, Francesco (Author), Rogosin, Sergei V. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014.
Series:Springer Monographs in Mathematics,
Subjects:
mathematics.
Integral equations.
Functions, special.
Distribution (Probability theory).
Mathematics.
Special Functions.
Mathematical Applications in the Physical Sciences.
Mathematical Modeling and Industrial Mathematics.
Integral Equations.
Probability Theory and Stochastic Processes.
Online Access:http://dx.doi.org/10.1007/978-3-662-43930-2
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Table of Contents:
  • Preface
  • Introduction
  • 1.History of Mittag-Leffler functions
  • 2.Classical Mittag-Leffler function
  • 3.Mittag-Leffler functions with two or three parameters
  • 4.Generalized Mittag-Leffler functions
  • 5.Mittag-Leffler functions and solution to fractional order equations
  • 6.Applications to deterministic models
  • 7.Applications to stochastic models
  • Appendices
  • A. Euler Gamma and Beta-functions
  • B. Entire functions
  • C. Integral transforms
  • D. Mellin-Barnes integral
  • E. Elements of fractional calculus
  • F. Higher transcendental functions
  • References.

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