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), {For algebraic theory, See 12D10; for real methods, See 26C10}
• 30C20 Conformal mappings of special domains
• 30C25 Covering theorems in conformal mapping theory
• 30C30 Numerical methods in conformal mapping theory, See Also { 65E05}
• 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, Lindelof principle, analogues and generalizations; subordination
• 30C85 Capacity and harmonic measure in the complex plane, See also {31A15}
• 30C99 None of the above but in this section