Approximation of modulus, periods and values of Jacobi elliptic functions

Authors

  • G.M. Barabash Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine
  • Ya.M. Kholyavka Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine
https://doi.org/10.15330/cmp.6.2.191-195

Keywords:

simultaneous approximations, Jacobi elliptic function
Published online: 2014-12-22

Abstract

Let $sn_i (z)$, $i=1,2$,  be algebraically independent Jacobi elliptic functions. We obtain an estimation of a simultaneous approximation of modulus of these functions, their periods, arbitrary number $\alpha$ and the values of each of these functions at the periods of the other function and at the point $\alpha$.

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How to Cite
(1)
Barabash, G.; Kholyavka, Y. Approximation of Modulus, Periods and Values of Jacobi Elliptic Functions. Carpathian Math. Publ. 2014, 6, 191-195.