On zeroes of the polynomials of elliptic Jacobi functions

  • Ya.M. Kholyavka Львів. ун-т

Abstract

An estimate of the number of zeros of the function $F(r)=P(r,{\rm sn} r)$, where $P(X, Y)\in C [X, Y]$,  and ${\rm sn}  z$ is the Jacobian elliptic function, is obtained.

References

Reyssat Е. Approximation algebrique de nombres lies aux founctions elliptique et exponentielle // Bui. Soc. math. France. –108, № 1. – P. 47 – 49.

Published
06.11.1992
How to Cite
KholyavkaY. “On Zeroes of the Polynomials of Elliptic Jacobi Functions ”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 44, no. 11, Nov. 1992, p. 1624, https://umj.imath.kiev.ua/index.php/umj/article/view/8268.
Section
Short communications