La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

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30-XX Functions of a complex variable [For analysis on manifolds, see 58-XX]

• 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 (must also be assigned at least one classification number from Section 01)
• 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)
• 30Axx General properties
• 30Bxx Series expansions
• 30Cxx Geometric function theory
• 30Dxx 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
• 30Exx Miscellaneous topics of analysis in the complex domain
• 30Fxx Riemann surfaces
• 30Gxx Generalized function theory
• 30H05 Spaces and algebras of analytic functions [See also 32A38, 46Exx, 46J15]

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