Transmutation, Scattering Theory and Special Functions

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Author :
Publisher : Elsevier
ISBN 13 : 0080871801
Total Pages : 469 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Transmutation, Scattering Theory and Special Functions by : R. Carroll

Download or read book Transmutation, Scattering Theory and Special Functions written by R. Carroll and published by Elsevier. This book was released on 2011-08-18 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transmutation, Scattering Theory and Special Functions

Transformations, Transmutations, and Kernel Functions

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Author :
Publisher : CRC Press
ISBN 13 : 9780582091092
Total Pages : 286 pages
Book Rating : 4.0/5 (91 download)

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Book Synopsis Transformations, Transmutations, and Kernel Functions by : H Begehr

Download or read book Transformations, Transmutations, and Kernel Functions written by H Begehr and published by CRC Press. This book was released on 1993-09-23 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex analytical methods are a powerful tool for special partial differential equations and systems. To make these methods applicable for a wider class, transformations and transmutations are used.

Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics

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Publisher : Academic Press
ISBN 13 : 0128204079
Total Pages : 594 pages
Book Rating : 4.1/5 (282 download)

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Book Synopsis Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics by : Elina Shishkina

Download or read book Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics written by Elina Shishkina and published by Academic Press. This book was released on 2020-07-24 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics connects difficult problems with similar more simple ones. The book's strategy works for differential and integral equations and systems and for many theoretical and applied problems in mathematics, mathematical physics, probability and statistics, applied computer science and numerical methods. In addition to being exposed to recent advances, readers learn to use transmutation methods not only as practical tools, but also as vehicles that deliver theoretical insights. - Presents the universal transmutation method as the most powerful for solving many problems in mathematics, mathematical physics, probability and statistics, applied computer science and numerical methods - Combines mathematical rigor with an illuminating exposition full of historical notes and fascinating details - Enables researchers, lecturers and students to find material under the single "roof"

Transformations, Transmutations, and Kernel Functions, Volume II

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Author :
Publisher : CRC Press
ISBN 13 : 1000951510
Total Pages : 286 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Transformations, Transmutations, and Kernel Functions, Volume II by : H Begehr

Download or read book Transformations, Transmutations, and Kernel Functions, Volume II written by H Begehr and published by CRC Press. This book was released on 2023-06-16 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex analytical methods are a powerful tool for special partial differential equations and systems. To make these methods applicable for a wider class, transformations and transmutations are used.

Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics

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Author :
Publisher : Academic Press
ISBN 13 : 0128197811
Total Pages : 592 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics by : Elina Shishkina

Download or read book Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics written by Elina Shishkina and published by Academic Press. This book was released on 2020-07-24 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics connects difficult problems with similar more simple ones. The book's strategy works for differential and integral equations and systems and for many theoretical and applied problems in mathematics, mathematical physics, probability and statistics, applied computer science and numerical methods. In addition to being exposed to recent advances, readers learn to use transmutation methods not only as practical tools, but also as vehicles that deliver theoretical insights.

Transmutation Operators and Applications

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Author :
Publisher : Springer Nature
ISBN 13 : 303035914X
Total Pages : 685 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Transmutation Operators and Applications by : Vladislav V. Kravchenko

Download or read book Transmutation Operators and Applications written by Vladislav V. Kravchenko and published by Springer Nature. This book was released on 2020-04-11 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transmutation operators in differential equations and spectral theory can be used to reveal the relations between different problems, and often make it possible to transform difficult problems into easier ones. Accordingly, they represent an important mathematical tool in the theory of inverse and scattering problems, of ordinary and partial differential equations, integral transforms and equations, special functions, harmonic analysis, potential theory, and generalized analytic functions. This volume explores recent advances in the construction and applications of transmutation operators, while also sharing some interesting historical notes on the subject.

Transmutation Operators and Applications

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Author :
Publisher : Birkhäuser
ISBN 13 : 9783030359133
Total Pages : 686 pages
Book Rating : 4.3/5 (591 download)

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Book Synopsis Transmutation Operators and Applications by : Vladislav V. Kravchenko

Download or read book Transmutation Operators and Applications written by Vladislav V. Kravchenko and published by Birkhäuser. This book was released on 2020-05-19 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transmutation operators in differential equations and spectral theory can be used to reveal the relations between different problems, and often make it possible to transform difficult problems into easier ones. Accordingly, they represent an important mathematical tool in the theory of inverse and scattering problems, of ordinary and partial differential equations, integral transforms and equations, special functions, harmonic analysis, potential theory, and generalized analytic functions. This volume explores recent advances in the construction and applications of transmutation operators, while also sharing some interesting historical notes on the subject.

Generalized Fractional Calculus and Applications

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Publisher : CRC Press
ISBN 13 : 9780582219779
Total Pages : 412 pages
Book Rating : 4.2/5 (197 download)

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Book Synopsis Generalized Fractional Calculus and Applications by : Virginia S Kiryakova

Download or read book Generalized Fractional Calculus and Applications written by Virginia S Kiryakova and published by CRC Press. This book was released on 1993-12-27 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume various applications are discussed, in particular to the hyper-Bessel differential operators and equations, Dzrbashjan-Gelfond-Leontiev operators and Borel type transforms, convolutions, new representations of hypergeometric functions, solutions to classes of differential and integral equations, transmutation method, and generalized integral transforms. Some open problems are also posed. This book is intended for graduate and post-graduate students, lecturers, researchers and others working in applied mathematical analysis, mathematical physics and related disciplines.

Advanced Mathematical Methods

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Author :
Publisher : MDPI
ISBN 13 : 3039282468
Total Pages : 198 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis Advanced Mathematical Methods by : Francesco Mainardi

Download or read book Advanced Mathematical Methods written by Francesco Mainardi and published by MDPI. This book was released on 2020-02-05 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: The many technical and computational problems that appear to be constantly emerging in various branches of physics and engineering beg for a more detailed understanding of the fundamental mathematics that serves as the cornerstone of our way of understanding natural phenomena. The purpose of this Special Issue was to establish a brief collection of carefully selected articles authored by promising young scientists and the world's leading experts in pure and applied mathematics, highlighting the state-of-the-art of the various research lines focusing on the study of analytical and numerical mathematical methods for pure and applied sciences.

Transformations, Transmutations, and Kernel Functions, Volume I

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Author :
Publisher : Chapman and Hall/CRC
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Transformations, Transmutations, and Kernel Functions, Volume I by : Heinrich G. W. Begehr

Download or read book Transformations, Transmutations, and Kernel Functions, Volume I written by Heinrich G. W. Begehr and published by Chapman and Hall/CRC. This book was released on 1992-12-14 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: A broad ranging collection of recent results in the subject covering areas from plane elasticity to second and higher order elliptic equations. The chapters may be read individually, providing a more accessible forum for the applications.

Mittag-Leffler Functions, Related Topics and Applications

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Author :
Publisher : Springer Nature
ISBN 13 : 3662615509
Total Pages : 548 pages
Book Rating : 4.6/5 (626 download)

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Book Synopsis Mittag-Leffler Functions, Related Topics and Applications by : Rudolf Gorenflo

Download or read book Mittag-Leffler Functions, Related Topics and Applications written by Rudolf Gorenflo and published by Springer Nature. This book was released on 2020-10-27 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 2nd edition of this book is essentially an extended version of the 1st and provides a very sound overview of the most important special functions of Fractional Calculus. It has been updated with material from many recent papers and includes several surveys of important results known before the publication of the 1st edition, but not covered there. 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 caught the interest of the scientific community. Focusing on the theory of Mittag-Leffler functions, this 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 applications, treating various situations and processes in viscoelasticity, physics, hydrodynamics, diffusion and wave phenomena, as well as stochastics. In particular, the Mittag-Leffler functions make it possible to describe phenomena in processes that progress or decay too slowly to be represented by classical functions like the exponential function and related special functions. 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, control theory and several other related areas.

Transmutation Theory and Applications

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Author :
Publisher : Elsevier
ISBN 13 : 008087228X
Total Pages : 365 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Transmutation Theory and Applications by : R. Carroll

Download or read book Transmutation Theory and Applications written by R. Carroll and published by Elsevier. This book was released on 2011-08-18 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transmutation Theory and Applications

Mathematical Analysis and Numerical Methods

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Author :
Publisher : Springer Nature
ISBN 13 : 9819748763
Total Pages : 594 pages
Book Rating : 4.8/5 (197 download)

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Book Synopsis Mathematical Analysis and Numerical Methods by : Aliaa Burqan

Download or read book Mathematical Analysis and Numerical Methods written by Aliaa Burqan and published by Springer Nature. This book was released on with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Mechanics Reviews

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Publisher :
ISBN 13 :
Total Pages : 784 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1984 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Physics Briefs

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Publisher :
ISBN 13 :
Total Pages : 914 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Physics Briefs by :

Download or read book Physics Briefs written by and published by . This book was released on 1992 with total page 914 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Partial Differential Equations

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Publisher : Springer
ISBN 13 : 3319489364
Total Pages : 293 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Introduction to Partial Differential Equations by : David Borthwick

Download or read book Introduction to Partial Differential Equations written by David Borthwick and published by Springer. This book was released on 2017-01-12 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: This modern take on partial differential equations does not require knowledge beyond vector calculus and linear algebra. The author focuses on the most important classical partial differential equations, including conservation equations and their characteristics, the wave equation, the heat equation, function spaces, and Fourier series, drawing on tools from analysis only as they arise. Within each section the author creates a narrative that answers the five questions: What is the scientific problem we are trying to understand? How do we model that with PDE? What techniques can we use to analyze the PDE? How do those techniques apply to this equation? What information or insight did we obtain by developing and analyzing the PDE? The text stresses the interplay between modeling and mathematical analysis, providing a thorough source of problems and an inspiration for the development of methods.

Fractional Calculus for Hydrology, Soil Science and Geomechanics

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Author :
Publisher : CRC Press
ISBN 13 : 1351032402
Total Pages : 410 pages
Book Rating : 4.3/5 (51 download)

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Book Synopsis Fractional Calculus for Hydrology, Soil Science and Geomechanics by : Ninghu Su

Download or read book Fractional Calculus for Hydrology, Soil Science and Geomechanics written by Ninghu Su and published by CRC Press. This book was released on 2020-11-02 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an unique integrated treatise, on the concepts of fractional calculus as models with applications in hydrology, soil science and geomechanics. The models are primarily fractional partial differential equations (fPDEs), and in limited cases, fractional differential equations (fDEs). It develops and applies relevant fPDEs and fDEs mainly to water flow and solute transport in porous media and overland, and in some cases, to concurrent flow and energy transfer. It is an integrated resource with theory and applications for those interested in hydrology, hydraulics and fluid mechanics. The self-contained book summaries the fundamentals for porous media and essential mathematics with extensive references supporting the development of the model and applications.