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Mittag-Leffler Functions, Related Topics and Applications : Theory and Applications / by Rudolf Gorenflo, Anatoly A. Kilbas, Francesco Mainardi, Sergei V. Rogosin
(Springer Monographs in Mathematics. ISSN:14397382)

出版者 (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年 2014
大きさ XIV, 443 p. 7 illus : online resource
書誌ID MC00017363

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eBook オンライン資料

MC000055915
Springer Mathematics and Statistics eBooks 2014 English/International 9783662439302
eBook オンライン資料

MC000572441
SpringerLink Books - AutoHoldings 9783662439302

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一般注記 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
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 the Mittag-Leffler functions, the present volume offers a self-contained, comprehensive treatment, ranging from rather elementary matters to the latest research results. In addition to the theory the authors devote some sections of the work to the applications, treating various situations and processes in viscoelasticity, physics, hydrodynamics, diffusion and wave phenomena, as well as stochastics. In particular the Mittag-Leffler functions allow us to describe phenomena in processes that progress or decay too slowly to be represented by classical functions like the exponential function and its successors. The book is intended for a broad audience, comprising graduate students, university instructors and scientists in the field of pure and applied mathematics, as well as researchers in applied sciences like mathematical physics, theoretical chemistry, bio-mathematics, theory of control, and several other related areas.
著者標目 *Gorenflo, Rudolf author
Kilbas, Anatoly A author
Mainardi, Francesco author
Rogosin, Sergei V author
SpringerLink (Online service)
件 名 LCSH:Mathematics
LCSH:Integral equations
LCSH:Special functions
LCSH:Mathematical physics
LCSH:Mathematical models
LCSH:Probabilities
FREE:Mathematics
FREE:Special Functions
FREE:Mathematical Applications in the Physical Sciences
FREE:Mathematical Modeling and Industrial Mathematics
FREE:Integral Equations
FREE:Probability Theory and Stochastic Processes
分 類 LCC:QA351
DC23:515.5
資料種別 機械可読データファイル
巻冊次 ISBN:9783662439302