Dzyadyk formula for summation of double Faber series

Authors

  • M. M. Tsvil'

Abstract

An analog of Dzyadyk's formula is constructed for double series in Faber polynomials of two variables. By using this formula, we obtain the estimates of the convergence rate of the double Faber series, summed over rectangles and circles, in a bicylindric domain.

Published

25.09.1994

Issue

Section

Research articles

How to Cite

Tsvil', M. M. “ Dzyadyk Formula for Summation of Double Faber Series”. Ukrains’kyi Matematychnyi Zhurnal, vol. 46, no. 9, Sept. 1994, pp. 1283–1287, https://umj.imath.kiev.ua/index.php/umj/article/view/5648.