Rational summation of rational functions
type: Item
instance of: scholarly article
title: Rational summation of rational functions
zbMATH Open document ID: 1007.12007
author: Laura Felicia Matusevich
published in: Beiträge zur Algebra und Geometrie
publication date: 2000-09-13T00:00:00Z
full work available at URL: https://eudml.org/doc/227093
full work available at URL: 20.html
review text: The author characterizes rational functions for which their indefinite sum is again a rational function. The rational summation problem has been studied by \textit{S. A. Abramov} [Zh. Vychisl. Mat. Mat. Fiz. 15, 1035-1039 (1975; Zbl 0326.65069)], \textit{P. Paule} [RISC-Linz Report Series No. 93-02 (1993) and J. Symb. Comput. 20, 235-268 (1995; Zbl 0854.68047)], \textit{R. Pirastu} [Algorithmen zur Summation rationaler Funktionen (in German). Diploma thesis, University of Erlangen-Nürnberg (1992)] and \textit{R. Pirastu} and \textit{V. Strehl} [J. Symb. Comput. 20, 617-635 (1995; Zbl 0851.68050)] who gave algorithms, based on either the Gosper-Petkovšek representation or the shift saturated representation of a rational function, to decide whether a rational function is rationally summable or not.
reviewed by: Olaf Ninnemann
Mathematics Subject Classification ID: 12Y05
Mathematics Subject Classification ID: 12F20
zbMATH DE Number: 1505648
zbMATH Keywords: dispersion
zbMATH Keywords: rational summation
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1505648