30-XX |
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Functions of a complex variable |
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30Cxx |
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Geometric function theory |
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30C10 |
Polynomials and rational functions of one complex variable |
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30C15 |
Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) {For algebraic theory, see 12D10; for real methods, see 26C10} |
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30C20 |
Conformal mappings of special domains |
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30C25 |
Covering theorems in conformal mapping theory |
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30C30 |
Schwarz-Christoffel-type mappings [See also 65E10] |
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30C35 |
General theory of conformal mappings |
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30C40 |
Kernel functions in one complex variable and applications |
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30C45 |
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) |
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30C50 |
Coefficient problems for univalent and multivalent functions of one complex variable |
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30C55 |
General theory of univalent and multivalent functions of one complex variable |
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30C62 |
Quasiconformal mappings in the complex plane |
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30C65 |
Quasiconformal mappings in $\mathbb{R}^n$, other generalizations |
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30C70 |
Extremal problems for conformal and quasiconformal mappings, variational methods |
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30C75 |
Extremal problems for conformal and quasiconformal mappings, other methods |
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30C80 |
Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination |
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30C85 |
Capacity and harmonic measure in the complex plane [See also 31A15] |
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30C99 |
None of the above, but in this section |