Mathematical Sciences Classification System 2010
< 30Bxx | 30-XX | 30Dxx >

30-XX - Functions of a complex variable

30Cxx - Geometric function theory

1books30C10Polynomials
30C15Zeros of polynomials, rational functions, and other analytic functions (e.g. zeros of functions with bounded Dirichlet integral) {For algebraic theory, see 12D10; for real methods, see 26C10}
30C20Conformal mappings of special domains
30C25Covering theorems in conformal mapping theory
1books30C30Numerical methods in conformal mapping theory [See also 65E05]
1books30C35General theory of conformal mappings
2books30C40Kernel functions and applications
1books30C45Special classes of univalent and multivalent functions (starlike, convex, bounded rotation, etc.)
30C50Coefficient problems for univalent and multivalent functions
30C55General theory of univalent and multivalent functions
4books30C62Quasiconformal mappings in the plane
6books30C65Quasiconformal mappings in ${\bf R}^n$, other generalizations
30C70Extremal problems for conformal and quasiconformal mappings, variational methods
30C75Extremal problems for conformal and quasiconformal mappings, other methods
30C80Maximum principle; Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination
1books30C85Capacity and harmonic measure in the complex plane [See also 31A15]
30C99None of the above, but in this section