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Integration of rational functions: Rational computation of the logarithmic part

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Publication:757064
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DOI10.1016/S0747-7171(08)80026-0zbMath0723.68053MaRDI QIDQ757064

D. Kharzeev

Publication date: 1990

Published in: Journal of Symbolic Computation (Search for Journal in Brave)


zbMATH Keywords

GCD computationsintegral of a rational functionpolynomial arithmetic


Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical integration (65D30)


Related Items (10)

Factoring multivariate polynomials via partial differential equations ⋮ Lifting and recombination techniques for absolute factorization ⋮ Comments on Risch’s On the Integration of Elementary Functions which are Built Up Using Algebraic Operations ⋮ Computing Logarithmic Parts by Evaluation Homomorphisms✱ ⋮ Using Gröbner bases for finding the logarithmic part of the integral of transcendental functions ⋮ Factoring bivariate polynomials using adjoints ⋮ Formulas for series computations ⋮ Rational Landen transformations on $\mathbb{R}$ ⋮ Indefinite integration as term rewriting: integrals containing tangent ⋮ Landen transformations and the integration of rational functions



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