Difference Equations, Special Functions and Orthogonal Polynomials

Difference Equations, Special Functions and Orthogonal Polynomials

Author: Saber Elaydi

Publisher: World Scientific

Published: 2007

Total Pages: 789

ISBN-13: 9812706437

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This volume contains talks given at a joint meeting of three communities working in the fields of difference equations, special functions and applications (ISDE, OPSFA, and SIDE). The articles reflect the diversity of the topics in the meeting but have difference equations as common thread. Articles cover topics in difference equations, discrete dynamical systems, special functions, orthogonal polynomials, symmetries, and integrable difference equations.


Difference Equations, Special Functions And Orthogonal Polynomials - Proceedings Of The International Conference

Difference Equations, Special Functions And Orthogonal Polynomials - Proceedings Of The International Conference

Author: Jim M Cushing

Publisher: World Scientific

Published: 2007-05-21

Total Pages: 789

ISBN-13: 9814475467

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This volume contains talks given at a joint meeting of three communities working in the fields of difference equations, special functions and applications (ISDE, OPSFA, and SIDE). The articles reflect the diversity of the topics in the meeting but have difference equations as common thread. Articles cover topics in difference equations, discrete dynamical systems, special functions, orthogonal polynomials, symmetries, and integrable difference equations.


Difference Equations, Special Functions and Orthogonal Polynomials

Difference Equations, Special Functions and Orthogonal Polynomials

Author: Saber Elaydi

Publisher: World Scientific

Published: 2007

Total Pages: 789

ISBN-13: 9812770755

DOWNLOAD EBOOK

This volume contains talks given at a joint meeting of three communities working in the fields of difference equations, special functions and applications (ISDE, OPSFA, and SIDE). The articles reflect the diversity of the topics in the meeting but have difference equations as common thread. Articles cover topics in difference equations, discrete dynamical systems, special functions, orthogonal polynomials, symmetries, and integrable difference equations.


Discrete Dynamics And Difference Equations - Proceedings Of The Twelfth International Conference On Difference Equations And Applications

Discrete Dynamics And Difference Equations - Proceedings Of The Twelfth International Conference On Difference Equations And Applications

Author: Saber N Elaydi

Publisher: World Scientific

Published: 2010-11-02

Total Pages: 438

ISBN-13: 9814466654

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This volume holds a collection of articles based on the talks presented at ICDEA 2007 in Lisbon, Portugal.The volume encompasses current topics on stability and bifurcation, chaos, mathematical biology, iteration theory, nonautonomous systems, and stochastic dynamical systems.


Orthogonal Polynomials

Orthogonal Polynomials

Author: Mama Foupouagnigni

Publisher: Springer Nature

Published: 2020-03-11

Total Pages: 683

ISBN-13: 3030367444

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This book presents contributions of international and local experts from the African Institute for Mathematical Sciences (AIMS-Cameroon) and also from other local universities in the domain of orthogonal polynomials and applications. The topics addressed range from univariate to multivariate orthogonal polynomials, from multiple orthogonal polynomials and random matrices to orthogonal polynomials and Painlevé equations. The contributions are based on lectures given at the AIMS-Volkswagen Stiftung Workshop on Introduction of Orthogonal Polynomials and Applications held on October 5–12, 2018 in Douala, Cameroon. This workshop, funded within the framework of the Volkswagen Foundation Initiative "Symposia and Summer Schools", was aimed globally at promoting capacity building in terms of research and training in orthogonal polynomials and applications, discussions and development of new ideas as well as development and enhancement of networking including south-south cooperation.


My Life and Functions

My Life and Functions

Author: Walter K. Hayman

Publisher: Lulu.com

Published: 2014

Total Pages: 154

ISBN-13: 1326030205

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This is the autobiography of Walter Kurt Hayman. Born in Germany in 1926, he came to Britain in 1938 to escape the Nazis. Educated at Gordonstoun School in Scotland and Cambridge, he was influenced by Mary Cartwright and J. E. Littlewood. He was elected to the Royal Society in 1956 and appointed Professor of Pure Mathematics at Imperial College, London. For over 30 years there he ran a world-famous school in Complex Analysis. He then spent 10 years at York before returning to Imperial College, where he is a Senior Research Fellow. He has received many prizes, awards and honorary degrees. Twice widowed, he now lives in Gloucestershire with his third wife, Marie. He gives a frank account of a life dominated by mathematics, music, friendship, family and service. There are 15 photographs, and a full list of his 218 publications to date. An index lists all persons mentioned in the text. This paperback edition is designed to be as affordable as possible. A hard-cover edition is also available.


Application of Integrable Systems to Phase Transitions

Application of Integrable Systems to Phase Transitions

Author: C.B. Wang

Publisher: Springer Science & Business Media

Published: 2013-07-20

Total Pages: 222

ISBN-13: 3642385656

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The eigenvalue densities in various matrix models in quantum chromodynamics (QCD) are ultimately unified in this book by a unified model derived from the integrable systems. Many new density models and free energy functions are consequently solved and presented. The phase transition models including critical phenomena with fractional power-law for the discontinuities of the free energies in the matrix models are systematically classified by means of a clear and rigorous mathematical demonstration. The methods here will stimulate new research directions such as the important Seiberg-Witten differential in Seiberg-Witten theory for solving the mass gap problem in quantum Yang-Mills theory. The formulations and results will benefit researchers and students in the fields of phase transitions, integrable systems, matrix models and Seiberg-Witten theory.


New Trends in Difference Equations

New Trends in Difference Equations

Author: Saber N. Elaydi

Publisher: CRC Press

Published: 2002-02-28

Total Pages: 328

ISBN-13: 9780415283892

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This series on the International Conference on Difference Equations and Applications has established a tradition within the mathematical community. It brings together scientists from many different areas of research to highlight current interests, challenges and unsolved problems. This volume comprises selected papers presented at the Fifth International Conference on Difference Equations, held at Temuco, Chile. Experts from around the globe examine many facets of difference equations, including extended hyperbolic difference equations, oscillation criteria, invertability, one- and two-dimensional perturbed maps and much more. It provides a valuable source of reference for graduates and researchers.


Discrete Systems and Integrability

Discrete Systems and Integrability

Author: J. Hietarinta

Publisher: Cambridge University Press

Published: 2016-09

Total Pages: 461

ISBN-13: 1107042720

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A first introduction to the theory of discrete integrable systems at a level suitable for students and non-experts.