Algebraic Structures and Operator Calculus: Volume II: Special Functions and Computer Science / Edition 1

by P. Feinsilver, René Schott

Overview

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 .

Product Details

ISBN-13:	9780792329213
Publisher:	Springer Netherlands
Publication date:	06/30/1994
Series:	Mathematics and Its Applications , #292
Edition description:	1994
Pages:	150
Product dimensions:	6.14(w) x 9.21(h) x 0.24(d)

Table 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.

Editorial Reviews

The second of three volumes that present some of the most important tools of applied mathematics in such areas as probability theory, operator calculus, representation theory, and special functions as they are applied in computer science. Includes an original algebraic approach and material based on Appell states. For pure and applied mathematicians and theoretical computer scientists. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Booknews