Generalized Separants of Differential Polynomials / M. A. Limonov. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2015. № 6. P. 9-14 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 248-252].

Let f\in K\{y\} be an element of the ring of differential polynomials in one differential variable y with one differential operator \delta . For any variable y_k, the polynomial g=\delta^n(f) can be represented in the form g=A_ky_k+g_0, where g_0 does not depend on y_k. If y_k is the leader of g, then A_k is a separant of the polynomial f. A formula for A_k is obtained for sufficiently large numbers n and k and some applications of this formula are presented.

Key words: differential polynomial, separant, generalized separant, quasilinear polynomial.

№ 6/2015