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 1142
30-02 Research exposition (monographs, survey articles) pertaining to functions of a complex variable 971
30-03 History of functions of a complex variable [Consider also classification numbers from Section 01-XX] 458
30-08 Computational methods for problems pertaining to functions of a complex variable [See also 65Exx] 8
30B50 Dirichlet series, exponential series and other series in one complex variable [See also 11M41, 42-XX] 2397
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} 4999
30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) 14842
30C80 Maximum principle, Schwarz’s lemma, Lindelöf principle, analogues and generalizations; subordination 2933
30D05 Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable [See also 34Mxx, 37Fxx, 39-XX] 3531
30E20 Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane [See also 45Exx] 2716
30F35 Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) [See also 11Fxx, 20H10, 22E40, 32Gxx, 32Nxx] 1989
30G06 Non-Archimedean function theory [See also 12J25]; nonstandard function theory [See also 03H05] 441