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Full Description
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.
Contents
Hypergeometric Summation Revisited (S A Abramov & M Petkov ek); Five Applications of Wilf-Zeilberger Theory to Enumeration and Probability (M Apagodu & D Zeilberger); Factoring Systems of Linear Functional Equations Using Eigenrings (M A Barkatou); Modular Computation for Matrices of Ore Polynomials (H Cheng & G Labahn); Beta-Expansions of Pisot and Salem Numbers (K G Hare); Logarithmic Functional and the Weil Reciprocity Law (A Khovanskii); On Solutions of Linear Functional Systems and Factorization of Laurent-Ore Modules (M Wu & Z Li); The Vector Rational Function Reconstruction Problem (Z Olesh & A Storjohann); Fast Algorithm for Computing Multipole Matrix Elements with Legendre Polynomials (V Yu et al.); Recurrence Relations for the Coefficients in Hypergeometric Series Expansions (L Rebillard & H Zakraj ek); On Factorization and Solution of Multidimensional Linear Partial Differential Equations (S P Tsarev); Two Families of Algorithms for Symbolic Polynomials (S M Watt).



