Rational Landen transformations on $\mathbb{R}$

DOI10.1090/S0025-5718-07-01954-0zbMath1120.33022arXiv0707.3862MaRDI QIDQ3592689

Victor H. Moll, Dante Manna

Publication date: 13 September 2007

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

Full work available at URL: https://arxiv.org/abs/0707.3862

zbMATH Keywords

definite integralsLanden transformationintegration of rational functions

Mathematics Subject Classification ID

Numerical approximation and evaluation of special functions (33F05) Real rational functions (26C15)

Related Items (4)

Unnamed Item ⋮ A fast numerical algorithm for the integration of rational functions ⋮ A formula for a quartic integral: a survey of old proofs and some new ones ⋮ THE ITERATED INTEGRALS OF ln(1 + xⁿ)

Cites Work

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• Integration of rational functions: Rational computation of the logarithmic part
• Dynamics of the degree six Landen transformation
• Symbolic integration. I: Transcendental functions
• Landen transformations and the integration of rational functions
• A GEOMETRIC VIEW OF RATIONAL LANDEN TRANSFORMATIONS
• On Some Families of Integrals Solvable in Terms of Polygamma and Negapolygamma Functions
• A Simple Example of a New Class of Landen Transformations

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