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Springer Monographs in Mathematics

Mittag-Leffler Functions, Related Topics and Applications

Authors: Gorenflo, R., Kilbas, A.A., Mainardi, F., Rogosin, S.V.

  • Unique project to be realized in the theory of special functions
  • Presents a complete and self-contained description of all aspects of the theory and application of the Mittag-Leffler functions
  • The introduced functions are of great importance for solving differential and integral equations of fractional order
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Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-662-43930-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-662-43929-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: August 31, 2016
  • ISBN 978-3-662-52324-7
  • Free shipping for individuals worldwide
About this book

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.

About the authors

R. Gorenflo. In 1960, he received his doctorate in Karlsruhe for work on entire transcendental functions. Starting in 1974 he served as a Professor at the Free University Berlin, where he retired in 1998, remaining an active researcher. Since the 1960s he has been actively interested in fractional integral equations and diffusion problems, leading him to a close collaboration with F. Mainardi and other researchers, focusing on fractional differential equations and related special functions, with a particular emphasis on modeling physical processes. His list of publications comprises more than 170 research articles and two monographs.

A.A. Kilbas (1948-2010). Graduated at the Belarusian State University in Minsk in 1971, where he received his PhD and Doctor of Sciences degrees before becoming a Professor. A.A. Kilbas was a world-known scientist whose contributions to the theory of integral equations, fractional integro-differentiation, fractional differential equations, integral transforms and special functions are highly regarded by the mathematical community. He was the author of more than 300 research articles and 6 monographs.

F. Mainardi. In 1966 he graduated with a degree in Theoretical Physics from the University of Bologna, where he took an advanced degree and continues to serve as a Professor of Mathematical Physics. He is the author of two books, has served as the editor of several compilations and has produced more than 150 research articles in Applied Mathematics, Continuum Mechanics, Wave Motion, Fractional Calculus and Stochastic Processes.

S.V. Rogosin. Graduated from the Belarusian State University in Minsk in 1974, where he later received his PhD. His research interests concern boundary value problems, complex analysis, integral equations and fractional calculus and their applications in continuous media mechanics. He is the author of two books, more than 100 research papers, has been the co-organizer of several international conferences and the editor of various compilations.

Table of contents (9 chapters)

  • Introduction

    Gorenflo, Rudolf (et al.)

    Pages 1-6

  • Historical Overview of the Mittag-Leffler Functions

    Gorenflo, Rudolf (et al.)

    Pages 7-16

  • The Classical Mittag-Leffler Function

    Gorenflo, Rudolf (et al.)

    Pages 17-54

  • The Two-Parametric Mittag-Leffler Function

    Gorenflo, Rudolf (et al.)

    Pages 55-96

  • Mittag-Leffler Functions with Three Parameters

    Gorenflo, Rudolf (et al.)

    Pages 97-128

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-662-43930-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-662-43929-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: August 31, 2016
  • ISBN 978-3-662-52324-7
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Mittag-Leffler Functions, Related Topics and Applications
Authors
Series Title
Springer Monographs in Mathematics
Copyright
2014
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-43930-2
DOI
10.1007/978-3-662-43930-2
Hardcover ISBN
978-3-662-43929-6
Softcover ISBN
978-3-662-52324-7
Series ISSN
1439-7382
Edition Number
1
Number of Pages
XIV, 443
Number of Illustrations and Tables
7 b/w illustrations
Topics