Algebraic Structures and Operator Calculus

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  • Algebraic Structures and Operator Calculus Book Detail

  • Author : P. Feinsilver
  • Release Date : 2007-07-11
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 151
  • ISBN 13 : 0585280037
  • File Size : 87,87 MB

Algebraic Structures and Operator Calculus by P. Feinsilver PDF Summary

Book Description: 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 .

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