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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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