30-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to functions of a complex variable 22
30-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functions of a complex variable 1110
30-02 Research exposition (monographs, survey articles) pertaining to functions of a complex variable 939
30-03 History of functions of a complex variable [Consider also classification numbers from Section 01-XX] 454
30-08 Computational methods for problems pertaining to functions of a complex variable [See also 65Exx] 7
30B50 Dirichlet series, exponential series and other series in one complex variable [See also 11M41, 42-XX] 2350
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} 4816
30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) 14498
30C80 Maximum principle, Schwarz’s lemma, Lindelöf principle, analogues and generalizations; subordination 2842
30D05 Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable [See also 34Mxx, 37Fxx, 39-XX] 3469
30E20 Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane [See also 45Exx] 2656
30F35 Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) [See also 11Fxx, 20H10, 22E40, 32Gxx, 32Nxx] 1964
30G06 Non-Archimedean function theory [See also 12J25]; nonstandard function theory [See also 03H05] 432