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

Feinsilver, P.; Schott, René

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 .

Edition details

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