Path Functions And Generalized Basic Hypergeometric Functions
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Path Functions And Generalized Basic Hypergeometric Functions
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Author : Kevin W. J. Kadell
language : en
Publisher: American Mathematical Soc.
Release Date : 1987
Path Functions And Generalized Basic Hypergeometric Functions written by Kevin W. J. Kadell and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.
Path functions and their basic properties are obtained by extending the constructive theory of partition generating functions developed by Sylvester, Durfee, Andrews and others. Path functions also arise when we have an expansion of a function satisfying a linear difference equation. Our expansions provide an interesting trade-off between complexity and rate of convergence.
Path Functions And Generalized Basic Hypergeometric Functions
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Author : Kevin W. J. Kadell
language : en
Publisher:
Release Date : 1987
Path Functions And Generalized Basic Hypergeometric Functions written by Kevin W. J. Kadell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Generating functions categories.
Basic Hypergeometric Series
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Author : George Gasper
language : en
Publisher:
Release Date : 2011-02-25
Basic Hypergeometric Series written by George Gasper and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-25 with Mathematics categories.
Significant revision of classic reference in special functions.
Basic Hypergeometric Series And Applications
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Author : Nathan Jacob Fine
language : en
Publisher: American Mathematical Soc.
Release Date : 1988
Basic Hypergeometric Series And Applications written by Nathan Jacob Fine and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.
The theory of partitions, founded by Euler, has led in a natural way to the idea of basic hypergeometric series, also known as Eulerian series. These series were first studied systematically by Heine, but many early results are attributed to Euler, Gauss, and Jacobi. This book provides a simple approach to basic hypergeometric series.
Analytic And Combinatorial Number Theory The Legacy Of Ramanujan Contributions In Honor Of Bruce C Berndt
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Author : George E Andrews
language : en
Publisher: World Scientific
Release Date : 2024-08-19
Analytic And Combinatorial Number Theory The Legacy Of Ramanujan Contributions In Honor Of Bruce C Berndt written by George E Andrews and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-19 with Mathematics categories.
This volume reflects the contributions stemming from the conference Analytic and Combinatorial Number Theory: The Legacy of Ramanujan which took place at the University of Illinois at Urbana-Champaign on June 6-9, 2019. The conference included 26 plenary talks, 71 contributed talks, and 170 participants. As was the case for the conference, this book is in honor of Bruce C Berndt and in celebration of his mathematics and his 80th birthday.Along with a number of papers previously appearing in Special Issues of the International Journal of Number Theory, the book collects together a few more papers, a biography of Bruce by Atul Dixit and Ae Ja Yee, a preface by George Andrews, a gallery of photos from the conference, a number of speeches from the conference banquet, the conference poster, a list of Bruce's publications at the time this volume was created, and a list of the talks from the conference.
Theory And Applications Of Special Functions
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Author : Mourad E. H. Ismail
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30
Theory And Applications Of Special Functions written by Mourad E. H. Ismail and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-30 with Mathematics categories.
This volume, "Theory and Applications of Special Functions," is d- icated to Mizan Rahman in honoring him for the many important c- tributions to the theory of special functions that he has made over the years, and still continues to make. Some of the papers were presented at a special session of the American Mathematical Society Annual Meeting in Baltimore, Maryland, in January 2003 organized by Mourad Ismail. Mizan Rahman's contributions are not only contained in his own - pers, but also indirectly in other papers for which he supplied useful and often essential information. We refer to the paper on his mathematics in this volume for more information. This paper contains some personal recollections and tries to describe Mizan Rahman's literary writings in his mother tongue, Bengali. An even more personal paper on Mizan Rahman is the letter by his sons, whom we thank for allowing us to reproduce it in this book. The theory of special functions is very much an application driven field of mathematics. This is a very old field, dating back to the 18th century when physicists and mathematician were looking for solutions of the fundamental differential equations of mathematical physics. Since then the field has grown enormously, and this book reflects only part of the known applications.
A Tribute To Emil Grosswald Number Theory And Related Analysis
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Author : Marvin Isadore Knopp
language : en
Publisher: American Mathematical Soc.
Release Date : 1993
A Tribute To Emil Grosswald Number Theory And Related Analysis written by Marvin Isadore Knopp and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
Emil Grosswald was a mathematician of great accomplishment and remarkable breadth of vision. This volume pays tribute to the span of his mathematical interests, which is reflected in the wide range of papers collected here. With contributions by leading contemporary researchers in number theory, modular functions, combinatorics, and related analysis, this book will interest graduate students and specialists in these fields. The high quality of the articles and their close connection to current research trends make this volume a must for any mathematics library.
Statistical Physics On The Eve Of The 21st Century In Honour Of J B Mcguire On The Occasion Of His 65th Birthday
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Author : Luc T Wille
language : en
Publisher: World Scientific
Release Date : 1999-02-04
Statistical Physics On The Eve Of The 21st Century In Honour Of J B Mcguire On The Occasion Of His 65th Birthday written by Luc T Wille and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-02-04 with categories.
This volume is a collection of original papers and reviews in honour of James McGuire, one of the pioneers of integrable models in statistical physics. The broad range of articles offers a timely perspective on the current status of statistical mechanics, identifying both recent results as well as future challenges. The work contains a number of overviews of standard topics such as exactly solved lattice models and their various applications in statistical physics, from models of strongly correlated electrons to the conformational properties of polymer chains. It is equally wide ranging in its coverage of new directions and developing fields including quantum computers, financial markets, chaotic systems, Feigenbaum scaling, proteins, brain behaviour, immunology, Markov superposition, Bose-Einstein condensation, random matrices, exclusion statistics, vertex operator algebras and D-unsolvability.The level of coverage is appropriate for graduate students. It will be equally of interest to professional physicists who want to learn about progress in statistical physics in recent years. Experts will find this work useful because of its broad sweep of topics and its discussion of remaining unsolved problems.
Adaptive Optics Engineering Handbook
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Author : Robert Tyson
language : en
Publisher: CRC Press
Release Date : 1999-11-10
Adaptive Optics Engineering Handbook written by Robert Tyson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-11-10 with Technology & Engineering categories.
This handbook supplies analytical tools for the design and development of adaptive optics systems to enhance their ability to adjust for atmospheric turbulence, optical fabrication errors, thermally induced distortions, and laser device aberrations. It provides recommendations for selecting, testing and installing a wavefront compensation system.
Numerical Recipes In Fortran 77 Volume 1 Volume 1 Of Fortran Numerical Recipes
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Author : William H. Press
language : en
Publisher: Cambridge University Press
Release Date : 1992-09-25
Numerical Recipes In Fortran 77 Volume 1 Volume 1 Of Fortran Numerical Recipes written by William H. Press and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-09-25 with Computers categories.
As with Numerical Recipes in C, the FORTRAN edition has been greatly revised to make this edition the most up to date handbook for those working with FORTRAN. Between both editions of Numerical Recipes, over 300,000 copies have been sold.