Buslaeva S. F.
Ukr. Mat. Zh. - 2001. - 53, № 9. - pp. 1155-1160
We study properties of a two-point version of the transfinite diameter of a set. By using relations obtained for its calculation, we prove a two-point version of the well-known Pólya theorem on an estimate from above for the Hankel determinants of a holomorphic function.
Ukr. Mat. Zh. - 1998. - 50, № 9. - pp. 1262–1267
We consider the case where the Poincaré theorem for difference equations with asymptotically constant coefficients is generalized to systems of difference equations with asymptotically periodic coefficients.