30XX 


Functions of a complex variable {For analysis on manifolds, see 58XX} 

30Cxx 

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 ${\bf R}^n$, 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, LindelĂ¶f 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 