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30Cxx - Geometric function theory

30C10 - Polynomials
30C15 - Zeros of polynomials, rational functions, and other analytic functions (e.g. zeros of functions with bounded Dirichlet integral)
30C20 - Conformal mappings of special domains
30C25 - Covering theorems in conformal mapping theory
30C30 - Numerical methods in conformal mapping theory
30C35 - General theory of conformal mappings
30C40 - Kernel functions and applications
30C45 - Special classes of univalent and multivalent functions (starlike, convex, bounded rotation, etc.)
30C50 - Coefficient problems for univalent and multivalent functions
30C55 - General theory of univalent and multivalent functions
30C62 - Quasiconformal mappings in the plane
30C65 - Quasiconformal mappings in $R^n$, other generalizations
30C70 - Extremal problems for conformal and quasiconformal mappings, variational methods
30C75 - Extremal problems for conformal and quasiconformal mappings, other methods
30C80 - Maximum principle; Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination
30C85 - Capacity and harmonic measure in the complex plane
30C99 - Miscellaneous
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