TY - JOUR
T1 - On the One Extremal Problem with the Free Poles on the Unit Circle
AU - Targonskii, Andrey L.
JF - International Journal of Advanced Research in Mathematics
VL - 6
SP - 26
EP - 31
SN - 2297-6213
PY - 2016
PB - SciPress Ltd
DO - 10.18052/www.scipress.com/IJARM.6.26
UR - https://www.scipress.com/IJARM.6.26
KW - Green Function
KW - Inner Radius of Domain
KW - Logarithmic Capacity
KW - Piecewise-Separating Transformation
KW - Quadratic Differential
KW - Radial Systems of Points
KW - Variational Formula
AB - The sharp estimates of the product of the inner radius for pairwise disjoint domains are obtained. In particular, we solve an extremal problem in the case of an arbitrary finite number of the free poles on the unit circle for the following functional (see formula in paper)
ER -