1.

Record Nr.

UNINA9910300118903321

Titolo

Advances in Computer Algebra [[electronic resource] ] : In Honour of Sergei Abramov's' 70th Birthday, WWCA 2016, Waterloo, Ontario, Canada / / edited by Carsten Schneider, Eugene Zima

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018

ISBN

3-319-73232-3

Edizione

[1st ed. 2018.]

Descrizione fisica

1 online resource (xi, 280 pages) : illustrations

Collana

Springer Proceedings in Mathematics & Statistics, , 2194-1009 ; ; 226

Disciplina

004.0151

Soggetti

Difference equations

Functional equations

Sequences (Mathematics)

Special functions

Computer software

Computer science—Mathematics

Mathematical physics

Difference and Functional Equations

Sequences, Series, Summability

Special Functions

Mathematical Software

Mathematics of Computing

Theoretical, Mathematical and Computational Physics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Sergei A. Abramov and Moulay A. Barkatou, On Strongly Non-Singular Polynomial Matrices -- Moulay Barkatou, Thomas Cluzeau and Carole El Bacha, On the Computation of Simple Forms and Regular Solutions of Linear Difference Systems -- Johannes Blumlein, Mark Round and Carsten Schneider, Refined Holonomic Summation Algorithms in Particle Physics -- Shaoshi Chen, Bivariate Extensions of Abramov’s Algorithm for Rational Summation -- Hao Du, Hui Huang and Ziming Li, A q-Analogue of the Modified Abramov-Petkovsek Reduction --



Manuel Kauers and Doron Zeilberger, Factorization of C-finite Sequences -- Johannes Middeke and Carsten Schneider, Denominator Bounds for Systems of Recurrence Equations using ΠΣ-Extensions -- Evans Doe Ocansey and Carsten Schneider, Representing (q–)Hypergeometric Products and Mixed Versions in Difference Rings -- Anton A. Panferov, Linearly Satellite Unknowns in Linear Differential Systems -- Peter Paule and Silviu Radu, Rogers-Ramanujan Functions, Modular Functions, and Computer Algebra.

Sommario/riassunto

This book discusses the latest advances in algorithms for symbolic summation, factorization, symbolic-numeric linear algebra and linear functional equations. It presents a collection of papers on original research topics from the Waterloo Workshop on Computer Algebra (WWCA-2016), a satellite workshop of the International Symposium on Symbolic and Algebraic Computation (ISSAC’2016), which was held at Wilfrid Laurier University (Waterloo, Ontario, Canada) on July 23–24, 2016.   This workshop and the resulting book celebrate the 70th birthday of Sergei Abramov (Dorodnicyn Computing Centre of the Russian Academy of Sciences, Moscow), whose highly regarded and inspirational contributions to symbolic methods have become a crucial benchmark of computer algebra and have been broadly adopted by many Computer Algebra systems.