Using Gröbner Bases for Finding the Logarithmic Part of the Integral of Transcendental Functions

Clemens Raab

Using Gröbner Bases for Finding the Logarithmic Part of the Integral of Transcendental Functions

Clemens Raab

Research Institute for Symbolic Computation

Research output: Working paper and reports › Research report

Abstract

We show that Czichowski's algorithm for computing the logarithmic part of the integral of a rational function can be carried over to a rather general class of transcendental functions.

Original language	English
Place of Publication	Linz, Austria
Publisher	DK Computational Mathematics, JKU
Number of pages	8
Publication status	Published - Feb 2011

Publication series

Name	DK Report Series
No.	2011-03

Fields of science

101001 Algebra
101002 Analysis
101 Mathematics
102 Computer Sciences
102011 Formal languages
101009 Geometry
101013 Mathematical logic
101020 Technical mathematics
101025 Number theory
101012 Combinatorics
101005 Computer algebra
101006 Differential geometry
101003 Applied geometry
102025 Distributed systems

JKU Focus areas

Computation in Informatics and Mathematics

Cite this

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N2 - We show that Czichowski's algorithm for computing the logarithmic part of the integral of a rational function can be carried over to a rather general class of transcendental functions.

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UR - http://www.dk-compmath.jku.at/publications/dk-reports/2011-02-20/view

M3 - Research report

T3 - DK Report Series

BT - Using Gröbner Bases for Finding the Logarithmic Part of the Integral of Transcendental Functions

PB - DK Computational Mathematics, JKU

CY - Linz, Austria

ER -

Using Gröbner Bases for Finding the Logarithmic Part of the Integral of Transcendental Functions

Abstract

Publication series

Fields of science

JKU Focus areas

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Cite this