Approximation Error and Error Accumulation for the Landen Transform |
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Authors: | Luther Wolfram Otten Werner |
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Affiliation: | (1) Fachbereich Mathematik/Informatik II, Gerhard-Mercator-Universität, GH Duisburg, Lotharstrae 65, D-47048 Duisburg, Germany |
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Abstract: | In this note we derive explicit a priori error bounds for the approximation error and error accumulation of the descending Landen transform. Our results apply to incomplete elliptic integral of the first kind and give the framework to calculate error bounds in the representation of Jacobi's Zeta- and Theta-function. |
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