Gorenflo, Rudolf, Kilbas, Anatoly A., Mainardi, Francesco, Rogosin, Sergei V. 　著

目次

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.