On the problem of estimating coefficients of univalent functions
Authors:
Abstract
To obtain some estimates of the coefficients of functions regular and univalent in the circle, let us use the Grunsky condition: for a function univalent in the circle and regular in it, it is necessary and sufficient that inequality (1) be satisfied for any sequence {xₙ} for which the series on the right-hand side of the inequality converges, and the coefficients aₘₙ are determined by the expansion...
Область исследования:
(Archived) Without section
Funding:
None
References
- Grunsky N. Math. Z., 1939, No. 45, H. 1
- Goluzin G. M. Geometric Theory of Functions of a Complex Variable. Nauka, 1961 (in Russian)
- Pederson P. N. Arch. Rational Mech. and Analysis, 1968, vol. 29, No. 5