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Mathematical Sciences Classification System

30Cxx - Geometric function theory

• 2
  30C10
  Polynomials
• 18
  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}
• 2
  30C20
  Conformal mappings of special domains
• 30C25
  Covering theorems in conformal mapping theory
• 2
  30C30
  Numerical methods in conformal mapping theory [See also 65E05]
• 3
  30C35
  General theory of conformal mappings
• 8
  30C40
  Kernel functions and applications
• 5
  30C45
  Special classes of univalent and multivalent functions (starlike, convex, bounded rotation, etc.)
• 2
  30C50
  Coefficient problems for univalent and multivalent functions
• 1
  30C55
  General theory of univalent and multivalent functions
• 12
  30C62
  Quasiconformal mappings in the plane
• 13
  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
• 5
  30C80
  Maximum principle; Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination
• 2
  30C85
  Capacity and harmonic measure in the complex plane [See also 31A15]
• 30C99
  None of the above, but in this section