Algebraic Structures and Operator Calculus Volume II: Special Functions and Computer Science için kapak resmi
Algebraic Structures and Operator Calculus Volume II: Special Functions and Computer Science
Başlık:
Algebraic Structures and Operator Calculus Volume II: Special Functions and Computer Science
ISBN:
9780585280035
Personal Author:
Edition:
1st ed. 1994.
Yayın Bilgileri:
Dordrecht : Springer Netherlands : Imprint: Springer, 1994.
Fiziksel Tanımlama:
X, 150 p. online resource.
Series:
Mathematics and Its Applications ; 292
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.
Abstract:
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 .
Added Author:
Dil:
English