zbMATH — the first resource for mathematics

Methods of geometric function theory in classical and modern problems for polynomials. (English. Russian original) Zbl 1267.30012
Russ. Math. Surv. 67, No. 4, 599-684 (2012); translation from Usp. Mat. Nauk 67, No. 4, 3-88 (2012).
The paper is a very broad survey of classical and modern results on polynomials. In addition, the author contributes very nice results of his own. Being a world expert on symmetrization and various other methods in function theory he is doing a remarkable job. The bibliography contains 124 references.

30C10 Polynomials and rational functions of one complex variable
30C50 Coefficient problems for univalent and multivalent functions of one complex variable
30C85 Capacity and harmonic measure in the complex plane
30-02 Research exposition (monographs, survey articles) pertaining to functions of a complex variable
Full Text: DOI