On zeroes of the polynomials of elliptic Jacobi functions

• Date: 1992
• Main Authors: Kholyavka, Ya.M., Холявка, Я.М.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 1992
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8268
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.