These tables, which are based on Jacobi’s parameter q, are intended for numerical calculations with elliptic functions. Previous tables have used Legendre’s modulus Θ. The tables I and II contain functions which are connected with the Jacobian elliptic functions sn u, cn u and dn u; they are especially important in practical work. In tables III and IV there are introduced two new auxiliary functions and , from which the four theta functions can be obtained by simple calculations. Table V affords conversion between Legendre’s modulusΘ and Jacobi’s parameter q. All these functions are presented to the 5 th decimal place. Finally, in table VI an auxiliary table is given which makes it easy to apply Everett’s interpolation method.


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  1. 1.
    See Zurmuehl: „Praktische Mathematik“ Springer-Verlag 1953 page 187.MATHGoogle Scholar

Copyright information

© Springer-Verlag OHG., Berlin/Göttingen/Heidelberg 1955

Authors and Affiliations

  • M. Schuler
    • 1
  • H. Gebelein
    • 2
  1. 1.University GöttingenDeutschland
  2. 2.BambergDeutschland

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