Algebraic Structures and Operator Calculus
Volume II: Special Functions and Computer Science
Series: Mathematics and Its Applications; 292;
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Product details:
- Edition number 1994
- Publisher Springer
- Date of Publication 30 June 1994
- Number of Volumes 1 pieces, Book
- ISBN 9780792329213
- Binding Hardback
- No. of pages150 pages
- Size 234x156 mm
- Weight 910 g
- Language English
- Illustrations X, 150 p. 0
Categories
Long description:
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 .
MoreTable of Contents:
Basic Data Structures.- Data Structures & 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.
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