Approximation of modulus, periods and values of Jacobi elliptic functions

G.M. Barabash; Ya.M. Kholyavka

doi:10.15330/cmp.6.2.191-195

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 $\alpha$ .