Approximation of modulus, periods and values of Jacobi elliptic functions

G. M. Barabash, Ya. M. Kholyavka

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 $\alpha$.

Keywords


simultaneous approximations, Jacobi elliptic function

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