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  • 30-XX Functions of a complex variable
  • 30Cxx Geometric function theory
  • 30C50 Coefficient problems for univalent and multivalent functions

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 None of the above, but in this section
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