Algebraic Structures and Operator Calculus
Volume II: Special Functions and Computer Science
Authors: Feinsilver, P., Schott, René
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- About this book
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In this volume we will present some applications of special functions in computer science. This largely consists of adaptations of articles that have appeared in the literature . Here they are presented in a format made accessible for the non-expert by providing some context. The material on group representations and Young tableaux is introductory in nature. However, the algebraic approach of Chapter 2 is original to the authors and has not appeared previously . Similarly, the material and approach based on Appell states, so formulated, is presented here for the first time . As in all volumes of this series, this one is suitable for self-study by researchers . It is as well appropriate as a text for a course or advanced seminar . The solutions are tackled with the help of various analytical techniques, such as g- erating functions, and probabilistic methods/insights appear regularly . An interesting feature is that, as has been the case in classical applications to physics, special functions arise- here in complexity analysis. And, as in physics, their appearance indicates an underlying Lie structure. Our primary audience is applied mathematicians and theoretical computer scientists . We are quite sure that pure mathematicians will find this volume interesting and useful as well .
- Table of contents (6 chapters)
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Introduction
Pages 1-13
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Basic Data Structures
Pages 14-23
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Data Structures & Orthogonal Polynomials
Pages 24-53
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Applications of Bessel Functions and Lommel Polynomials
Pages 54-75
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Fourier Transform on Finite Groups and Related Transforms
Pages 76-111
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Table of contents (6 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Algebraic Structures and Operator Calculus
- Book Subtitle
- Volume II: Special Functions and Computer Science
- Authors
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- P. Feinsilver
- René Schott
- Series Title
- Mathematics and Its Applications
- Series Volume
- 292
- Copyright
- 1994
- Publisher
- Springer Netherlands
- Copyright Holder
- Springer Science+Business Media Dordrecht
- eBook ISBN
- 978-0-585-28003-5
- DOI
- 10.1007/978-0-585-28003-5
- Hardcover ISBN
- 978-0-7923-2921-3
- Softcover ISBN
- 978-94-017-4152-1
- Edition Number
- 1
- Number of Pages
- X, 150
- Topics
