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Algebraic Structures and Operator Calculus: Volume II: Special Functions and Computer Science /
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Catalogue Information
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
Links to Related Works
Subject References:
Computer Science
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Computer Science, general
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Computers
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Integral transforms
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Integral Transforms, Operational Calculus
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Mathematics
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Non-associative Rings and Algebras
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Nonassociative rings
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Operational calculus
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Operator Theory
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Rings (Algebra)
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Special Functions
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Theory of Computation
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Authors:
Feinsilver, Philip
.
Schott, René
.
See Also:
Feinsilver, Philip J. (Philip Joel) 1948-
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Mathematics and its applications
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Classification:
515.5
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