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Computer Algebra 2006: Latest Advances in Symbolic Algorithms: Proceedings of the Waterloo Workshop Book

Computer Algebra 2006: Latest Advances in Symbolic Algorithms: Proceedings of the Waterloo Workshop
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Computer Algebra 2006: Latest Advances in Symbolic Algorithms: Proceedings of the Waterloo Workshop, , Computer Algebra 2006: Latest Advances in Symbolic Algorithms: Proceedings of the Waterloo Workshop
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  • Computer Algebra 2006: Latest Advances in Symbolic Algorithms: Proceedings of the Waterloo Workshop
  • Written by author Eugene V Zima
  • Published by World Scientific Publishing Company, Incorporated, August 2007
  • 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 wer
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Authors

Preface     v
Hypergeometric Summation Revisited   S. A. Abramov   M. Petkovsek     1
Five Applications of Wilf-Zeilberger Theory to Enumeration and Probability   M. Apagodu   D. Zeilberger     12
Factoring Systems of Linear Functional Equations Using Eigenrings   M. A. Barkatou     22
Modular Computation for Matrices of Ore Polynomials   H. Cheng   G. Labahn     43
Beta-Expansions of Pisot and Salem Numbers   K. G. Hare     67
Logarithmic Functional and the Weil Reciprocity Law   A. Khovanskii     85
On Solutions of Linear Functional Systems and Factorization of Laurent-Ore Modules   M. Wu   Z. Li     109
The Vector Rational Function Reconstruction Problem   Z. Olesh   A. Storjohann     137
Fast Algorithm for Computing Multipole Matrix Elements with Legendre Polynomials   V. Yu. Papshev   S. Yu. Slavyanov     150
Recurrence Relations for the Coefficients in Hypergeometric Series Expansions   L. Rebillard   H. Zakrajsek     158
On Factorization and Solution of Multidimensional Linear Partial Differential Equations   S. P. Tsarev     181
Two Families of Algorithms for Symbolic Polynomials   S. M. Watt     193
Author Index     211


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