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Biblioteca Dr. Antonio Monteiro · Catálogo |
| 30 | Functions of a complex variable | ||
| 30-00 | General reference works (handbooks, dictionaries, bibliographies, etc.) | ||
| 30-01 | Instructional exposition (textbooks, tutorial papers, etc.) | ||
| 30-02 | Research exposition (monographs, survey articles) | ||
| 30-03 | Historical | ||
| 30-04 | Explicit machine computation and programs (not the theory of computation or programming) | ||
| 30-06 | Proceedings, conferences, collections, etc. | ||
| 30-99 | Functions of a complex variable (not classified at a more specific level) | ||
| 30A | General properties | ||
| 30A05 | Monogenic properties of complex functions (including polygenic and areolar monogenic functions) | ||
| 30A10 | Inequalities in the complex domain | ||
| 30A99 | None of the above, but in this section | ||
| 30B | Series expansions | ||
| 30B10 | Power series (including lacunary series) | ||
| 30B20 | Random power series | ||
| 30B30 | Boundary behavior of power series, over-convergence | ||
| 30B40 | Analytic continuation | ||
| 30B50 | Dirichlet series and other series expansions, exponential series [See also 11M41, 42-XX] | ||
| 30B60 | Completeness problems, closure of a system of functions | ||
| 30B70 | Continued fractions [See also 11A55, 40A15] | ||
| 30B99 | None of the above, but in this section | ||
| 30C | 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, 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 | ||
| 30D | Entire and meromorphic functions, and related topics | ||
| 30D05 | Functional equations in the complex domain, iteration and composition of analytic functions [See also 34Mxx, 37Fxx, 39-XX] | ||
| 30D10 | Representations of entire functions by series and integrals | ||
| 30D15 | Special classes of entire functions and growth estimates | ||
| 30D20 | Entire functions, general theory | ||
| 30D30 | Meromorphic functions, general theory | ||
| 30D35 | Distribution of values, Nevanlinna theory | ||
| 30D40 | Cluster sets, prime ends, boundary behavior | ||
| 30D45 | Bloch functions, normal functions, normal families | ||
| 30D50 | Blaschke products, bounded mean oscillation, bounded characteristic, bounded functions, functions with positive real part | ||
| 30D55 | ${H}^p$-classes | ||
| 30D60 | Quasi-analytic and other classes of functions | ||
| 30D99 | None of the above, but in this section | ||
| 30E | Miscellaneous topics of analysis in the complex domain | ||
| 30E05 | Moment problems, interpolation problems | ||
| 30E10 | Approximation in the complex domain | ||
| 30E15 | Asymptotic representations in the complex domain | ||
| 30E20 | Integration, integrals of Cauchy type, integral representations of analytic functions [See also 45Exx] | ||
| 30E25 | Boundary value problems [See also 45Exx] | ||
| 30E99 | None of the above, but in this section | ||
| 30F | Riemann surfaces | ||
| 30F10 | Compact Riemann surfaces and uniformization [See also 14H15, 32G15] | ||
| 30F15 | Harmonic functions on Riemann surfaces | ||
| 30F20 | Classification theory of Riemann surfaces | ||
| 30F25 | Ideal boundary theory | ||
| 30F30 | Differentials on Riemann surfaces | ||
| 30F35 | Fuchsian groups and automorphic functions [See also 11Fxx, 20H10, 22E40, 32Gxx, 32Nxx] | ||
| 30F40 | Kleinian groups [See also 20H10] | ||
| 30F45 | Conformal metrics (hyperbolic, Poincaré, distance functions) | ||
| 30F50 | Klein surfaces | ||
| 30F60 | Teichmüller theory [See also 32G15] | ||
| 30F99 | None of the above, but in this section | ||
| 30G | Generalized function theory | ||
| 30G06 | Non-Archimedean function theory [See also 12J25] | ||
| 30G12 | Finely holomorphic functions and topological function theory | ||
| 30G20 | Generalizations of Bers or Vekua type (pseudoanalytic, $p$-analytic, etc.) | ||
| 30G25 | Discrete analytic functions | ||
| 30G30 | Other generalizations of analytic functions (including abstract-valued functions) | ||
| 30G35 | Functions of hypercomplex variables and generalized variables | ||
| 30G99 | None of the above, but in this section | ||
| 30H05 | Spaces and algebras of analytic functions [See also 32A38, 46Exx, 46J15] | ||
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