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Vol 52 Iss. 3
Pages:
32-36
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RUS
Article

On the issue of estimating the coefficients of single-leaf functions

Authors:
L. P. Ilina
Date submitted:
1973-09-26
Date accepted:
1973-11-11
Date published:
1974-03-01

Abstract

To obtain some estimates of the coefficients of regular and single-leaf functions in a circle, we use the Grunsky condition: for a single-leaf function in a circle that is regular in it, it is necessary and sufficient that the inequality be fulfilled...

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References

  1. Grunsky N. Math. Z., 1939, N 45, H.1.
  2. Goluzin G.M. Geometric theory of functions of a complex variable. Science, 1961.
  3. Pederson P.N. Arch.Rational Mech. and Analysis, 1968, V. 29, No. 5.

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