E. G. Kir'yatskiĭ, E. E. Kir'yatskiĭ, “Properties of analytic functions with nonzero order <nobr>$n$</nobr> divided difference on the half-plane and unit disk”, Sibirsk. Mat. Zh., 2013, Volume 54, Number 3,Pages <nobr>589

Properties of analytic functions with nonzero order $n$ divided difference on the half-plane and unit disk

E. G. Kir'yatskiĭ, E. E. Kir'yatskiĭ

Gediminas Vilnius Technical University, Vilnius, Lithuania

Abstract: We study various properties of analytic functions with nonzero order $n$ divided difference on the half-plane and unit disk, paying particular attention to estimating Taylor coefficients.

Keywords: analytic function, unit disk, half-plane, contiguous functions, divided difference, Taylor coefficients.

UDC: 517.54

Received: 13.07.2012