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Algebraic Structures and Operator Calculus : Algebraic Structures and Operator Calculus Special Functions and Computer Science v. 2 - Philip J. Feinsilver

Algebraic Structures and Operator Calculus

Algebraic Structures and Operator Calculus Special Functions and Computer Science v. 2

Hardcover Published: 30th June 1994
ISBN: 9780792329213
Number Of Pages: 150

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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 .

Preface
Introduction
Basic Data Structures
Data Structures and Orthogonal Polynomials
Applications of Bessel Functions and Lommel Polynomials
Fourier Transform on Finite Groups and Related Transforms
Young Tableaux and Combinatorial Enumeration in Parallel Processing
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780792329213
ISBN-10: 079232921X
Series: Astrophysics and Space Science Library : Book 2
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 150
Published: 30th June 1994
Publisher: SPRINGER VERLAG GMBH
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6  x 1.12
Weight (kg): 0.41