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Cover image for Computer algebra 2006 : latest advances in symbolic algorithms :proceedings of the Waterloo Workshop in Computer Algebra 2006, Ontario, Canada, 10-12 April 2006
Title:
Computer algebra 2006 : latest advances in symbolic algorithms :proceedings of the Waterloo Workshop in Computer Algebra 2006, Ontario, Canada, 10-12 April 2006
Publication Information:
Singapore : World Scientific Publishing Company, 2007
Physical Description:
viii, 211 p. : ill. ; 25 cm.
ISBN:
9789812702005

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30000010169223 QA155.7.E4 W37 2006 Open Access Book Proceedings, Conference, Workshop etc.
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Summary

Summary

Written by world-renowned experts, the book is a collection of tutorial presentations and research papers catering to the latest advances in symbolic summation, factorization, symbolic-numeric linear algebra and linear functional equations. The papers were presented at a workshop celebrating the 60th birthday of Sergei Abramov (Russia), whose highly influential contributions to symbolic methods are adopted in many leading computer algebra systems.


Table of Contents

S. A. Abramov and M. PetkovsekM. Apagodu and D. ZeilbergerM. A. BarkatouH. Cheng and G. LabahnK. G. HareA. KhovanskiiM. Wu and Z. LiZ. Olesh and A. StorjohannV. Yu. Papshev and S. Yu. SlavyanovL. Rebillard and H. ZakrajsekS. P. TsarevS. M. Watt
Prefacep. v
Hypergeometric Summation Revisitedp. 1
Five Applications of Wilf-Zeilberger Theory to Enumeration and Probabilityp. 12
Factoring Systems of Linear Functional Equations Using Eigenringsp. 22
Modular Computation for Matrices of Ore Polynomialsp. 43
Beta-Expansions of Pisot and Salem Numbersp. 67
Logarithmic Functional and the Weil Reciprocity Lawp. 85
On Solutions of Linear Functional Systems and Factorization of Laurent-Ore Modulesp. 109
The Vector Rational Function Reconstruction Problemp. 137
Fast Algorithm for Computing Multipole Matrix Elements with Legendre Polynomialsp. 150
Recurrence Relations for the Coefficients in Hypergeometric Series Expansionsp. 158
On Factorization and Solution of Multidimensional Linear Partial Differential Equationsp. 181
Two Families of Algorithms for Symbolic Polynomialsp. 193
Author Indexp. 211
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