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Algebraic Structures and Operator Calculus: Volume II: Special Functions and Computer Science /

Algebraic Structures and Operator Calculus: Volume II: Special Functions and Computer Science /
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Field name Details
Dewey Class 515.5
Title Algebraic Structures and Operator Calculus ([EBook] :) : Volume II: Special Functions and Computer Science / / by Philip Feinsilver, René Schott.
Author Feinsilver, Philip
Added Personal Name Schott, René author.
Other name(s) SpringerLink (Online service)
Publication Dordrecht : : Springer Netherlands, , 1994.
Physical Details X, 150 p. : online resource.
Series Mathematics and its applications ; 292
ISBN 9780585280035
Summary Note 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 .:
Contents note 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-0-585-28003-5
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