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A rational approximation to Weierstraß' ℘ function II. The lemniscatic casefunction II. The lemniscatic case

Eine rationale Approximation der Weierstraßschen ℘ II. Der lemniskatische FallII. Der lemniskatische Fall

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Abstract

A method for approximating Weierstraß' elliptic functions on a quadratic period lattice is described. As an application, an approximation to Weierstraß' ℘ function and its derivative for complex argument to 16S is given.

Zusammenfassung

Eine Methode zur Approximation von Weierstraßschen elliptischen Funktionen für ein quadratisches Periodengitter wird vorgestellt. Mit dieser Methode wird die Weierstraßsche ℘-Funktion und ihre Ableitung für komplexes Argument mit einer Genauigkeit von 16 gültigen Ziffern approximiert.

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Authors and Affiliations

  1. Zentralinstitut für Angewandte Mathematik, Kernforschungsanlage Jülich, D-5170, Jülich, Federal Republic of Germany

    U. Eckhardt

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  1. U. Eckhardt
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Eckhardt, U. A rational approximation to Weierstraß' ℘ function II. The lemniscatic casefunction II. The lemniscatic case. Computing 18, 341–349 (1977). https://doi.org/10.1007/BF02244020

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  • DOI: https://doi.org/10.1007/BF02244020

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