Algebraic Structures and Operator Calculus

Volume II: Special Functions and Computer Science
1994
ISBN: 978-0-7923-2921-3
Verlag: Springer Netherlands

Buch, Englisch, Band 292, 150 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 418 g

Reihe: Mathematics and Its Applications

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.

Zielgruppe

Research

Autoren/Hrsg.

Schott, René

Feinsilver, P.

Fachgebiete

• Mathematik | Informatik EDV | Informatik EDV & Informatik Allgemein
• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik EDV | Informatik Informatik Logik, formale Sprachen, Automaten

Inhaltsverzeichnis

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.