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Algebraic Structures and Operator Calculus

Volume II: Special Functions and Computer Science

  • Book
  • © 1994

Overview

Authors:
  1. Philip Feinsilver

    1. Department of Mathematics, Southern Illinois University, Carbondale, USA

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    You can also search for this author in PubMed   Google Scholar

  2. René Schott

    1. CRIN, Université de Nancy 1, Vandoeuvre-les-Nancy, France

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Mathematics and Its Applications (MAIA, volume 292)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-ix
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  2. Introduction

    Pages 1-13

  3. Basic Data Structures

    Pages 14-23

  4. Data Structures & Orthogonal Polynomials

    Pages 24-53

  5. Applications of Bessel Functions and Lommel Polynomials

    Pages 54-75

  6. Fourier Transform on Finite Groups and Related Transforms

    Pages 76-111

  7. Young Tableaux and Combinatorial Enumeration in Parallel Processing

    Pages 112-138

  8. Back Matter

    Pages 139-143
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About this book

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 .

Authors and Affiliations

  • Department of Mathematics, Southern Illinois University, Carbondale, USA

    Philip Feinsilver

  • CRIN, Université de Nancy 1, Vandoeuvre-les-Nancy, France

    René Schott

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