Mathematical Sciences Classification System

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 ${\bf R}^n$, 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 [See also 31A15]
  • 30C99
    None of the above, but in this section

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