The Resource MittagLeffler functions, related topics and applications, Rudolf Gorenflo, Anatoly A. Kilbas, Francesco Mainardi, Sergei V. Rogosin
MittagLeffler functions, related topics and applications, Rudolf Gorenflo, Anatoly A. Kilbas, Francesco Mainardi, Sergei V. Rogosin
Resource Information
The item MittagLeffler functions, related topics and applications, Rudolf Gorenflo, Anatoly A. Kilbas, Francesco Mainardi, Sergei V. Rogosin represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item MittagLeffler functions, related topics and applications, Rudolf Gorenflo, Anatoly A. Kilbas, Francesco Mainardi, Sergei V. Rogosin represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 As a result of researchers? and scientists? increasing interest in pure as well as applied mathematics in nonconventional models, particularly those using fractional calculus, MittagLeffler functions have recently caught the interest of the scientific community. Focusing on the theory of the MittagLeffler functions, the present volume offers a selfcontained, 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 MittagLeffler 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, biomathematics, theory of control, and several other related areas
 Language
 eng
 Extent
 1 online resource (xiv, 443 pages)
 Contents

 Preface
 Introduction
 1. History of MittagLeffler functions
 2. Classical MittagLeffler function
 3. MittagLeffler functions with two or three parameters
 4. Generalized MittagLeffler functions
 5. MittagLeffler functions and solution to fractional order equations
 6. Applications to deterministic models
 7. Applications to stochastic models
 Appendices
 A. Euler Gamma and Betafunctions
 B. Entire functions
 C. Integral transforms
 D. MellinBarnes integral
 E. Elements of fractional calculus
 F. Higher transcendental functions
 References
 Isbn
 9783662439296
 Label
 MittagLeffler functions, related topics and applications
 Title
 MittagLeffler functions, related topics and applications
 Statement of responsibility
 Rudolf Gorenflo, Anatoly A. Kilbas, Francesco Mainardi, Sergei V. Rogosin
 Language
 eng
 Summary
 As a result of researchers? and scientists? increasing interest in pure as well as applied mathematics in nonconventional models, particularly those using fractional calculus, MittagLeffler functions have recently caught the interest of the scientific community. Focusing on the theory of the MittagLeffler functions, the present volume offers a selfcontained, 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 MittagLeffler 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, biomathematics, theory of control, and several other related areas
 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
 MittagLeffler functions, related topics and applications, Rudolf Gorenflo, Anatoly A. Kilbas, Francesco Mainardi, Sergei V. Rogosin
 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 MittagLeffler functions  2. Classical MittagLeffler function  3. MittagLeffler functions with two or three parameters  4. Generalized MittagLeffler functions  5. MittagLeffler functions and solution to fractional order equations  6. Applications to deterministic models  7. Applications to stochastic models  Appendices  A. Euler Gamma and Betafunctions  B. Entire functions  C. Integral transforms  D. MellinBarnes 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
 10.1007/9783662439302
 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
 MittagLeffler functions, related topics and applications, Rudolf Gorenflo, Anatoly A. Kilbas, Francesco Mainardi, Sergei V. Rogosin
 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 MittagLeffler functions  2. Classical MittagLeffler function  3. MittagLeffler functions with two or three parameters  4. Generalized MittagLeffler functions  5. MittagLeffler functions and solution to fractional order equations  6. Applications to deterministic models  7. Applications to stochastic models  Appendices  A. Euler Gamma and Betafunctions  B. Entire functions  C. Integral transforms  D. MellinBarnes 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
 10.1007/9783662439302
 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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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/MittagLefflerfunctionsrelatedtopicsand/zoWpy_gip8U/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/MittagLefflerfunctionsrelatedtopicsand/zoWpy_gip8U/">MittagLeffler functions, related topics and applications, Rudolf Gorenflo, Anatoly A. Kilbas, Francesco Mainardi, Sergei V. Rogosin</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>