Coverart for item
The Resource Mittag-Leffler functions, related topics and applications, Rudolf Gorenflo, Anatoly A. Kilbas, Francesco Mainardi, Sergei V. Rogosin

Mittag-Leffler functions, related topics and applications, Rudolf Gorenflo, Anatoly A. Kilbas, Francesco Mainardi, Sergei V. Rogosin

Label
Mittag-Leffler functions, related topics and applications
Title
Mittag-Leffler functions, related topics and applications
Statement of responsibility
Rudolf Gorenflo, Anatoly A. Kilbas, Francesco Mainardi, Sergei V. Rogosin
Creator
Contributor
Author
Subject
Language
eng
Summary
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
Member of
Cataloging source
N$T
http://library.link/vocab/creatorName
Gorenflo, Rudolf
Dewey number
515/.75
Illustrations
illustrations
Index
index present
Language note
English
LC call number
QA431
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1942-
http://library.link/vocab/relatedWorkOrContributorName
  • Kilbas, A. A.
  • Mainardi, F.
  • Rogosin, Sergei V.
Series statement
Springer Monographs in Mathematics,
http://library.link/vocab/subjectName
  • Functional equations
  • Functional analysis
  • MATHEMATICS
  • MATHEMATICS
  • Functional analysis
  • Functional equations
Label
Mittag-Leffler functions, related topics and applications, Rudolf Gorenflo, Anatoly A. Kilbas, Francesco Mainardi, Sergei V. Rogosin
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
894508489
Dimensions
unknown
Extent
1 online resource (xiv, 443 pages)
File format
unknown
Form of item
online
Isbn
9783662439296
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-662-43930-2
Other physical details
illustrations
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)894508489
Label
Mittag-Leffler functions, related topics and applications, Rudolf Gorenflo, Anatoly A. Kilbas, Francesco Mainardi, Sergei V. Rogosin
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
894508489
Dimensions
unknown
Extent
1 online resource (xiv, 443 pages)
File format
unknown
Form of item
online
Isbn
9783662439296
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-662-43930-2
Other physical details
illustrations
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)894508489

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