Algebraic Structures and Operator Calculus: Volume II: Special Functions and Computer Science: 292 (Mathematics and Its Applications, 292) - Hardcover

Feinsilver, P.; Schott, René

Hardcover

ISBN 10: 079232921X ISBN 13: 9780792329213

Publisher: Springer, 1994

Synopsis

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 .

About this title

Synopsis

This is the second of three volumes which present some important tools of applied mathematics, in areas such as probability theory, operator calculus, representation theory, and special functions, used in solving problems in mathematics, physics and computer science. This second volume - "Special Functions and Computer Science" - presents some applications of special functions in computer science. It largely consists of adaptations of articles that have appeared in the literature, but here they are presented in a format which aims to be accessible for the non-expert by providing some context. The material on group representation and young tableaux is introductory in nature. The text has an algebraic approach in Chapter 2. The solutions are tackled with the help of various analytical techniques, such as generating functions and probabilistic methods and insights appear regularly. This text is aimed at pure and applied mathematicians and theoretical computer scientists. It should be suitable for study by researchers, as well as being appropriate as a text for a course on the subject.

Edition details

• Publisher: Springer
• Publication date: 1994
• Language: English
• ISBN 10: 079232921X
• ISBN 13: 9780792329213
• Binding: Hardcover
• Number of pages: 160