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

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 r...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Feinsilver, Philip (Συγγραφέας), Schott, René (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Dordrecht : Springer Netherlands, 1994.
Σειρά:Mathematics and Its Applications ; 292
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Feinsilver, Philip.  |e author. 
245 1 0 |a Algebraic Structures and Operator Calculus  |h [electronic resource] :  |b Volume II: Special Functions and Computer Science /  |c by Philip Feinsilver, René Schott. 
264 1 |a Dordrecht :  |b Springer Netherlands,  |c 1994. 
300 |a X, 150 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Mathematics and Its Applications ;  |v 292 
505 0 |a 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. 
520 |a 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 . 
650 0 |a Mathematics. 
650 0 |a Computer science. 
650 0 |a Computers. 
650 0 |a Nonassociative rings. 
650 0 |a Rings (Algebra). 
650 0 |a Integral transforms. 
650 0 |a Operational calculus. 
650 0 |a Operator theory. 
650 0 |a Special functions. 
650 1 4 |a Mathematics. 
650 2 4 |a Special Functions. 
650 2 4 |a Computer Science, general. 
650 2 4 |a Theory of Computation. 
650 2 4 |a Integral Transforms, Operational Calculus. 
650 2 4 |a Operator Theory. 
650 2 4 |a Non-associative Rings and Algebras. 
700 1 |a Schott, René.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9780792329213 
830 0 |a Mathematics and Its Applications ;  |v 292 
856 4 0 |u http://dx.doi.org/10.1007/978-0-585-28003-5  |z Full Text via HEAL-Link 
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950 |a Mathematics and Statistics (Springer-11649)