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Details
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.
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.