Clunie, J.; Sheil-Small, T. Harmonic univalent functions. (English) Zbl 0506.30007 Ann. Acad. Sci. Fenn., Ser. A I, Math. 9, 3-25 (1984). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 25 ReviewsCited in 364 Documents MSC: 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) 30C50 Coefficient problems for univalent and multivalent functions of one complex variable 31A05 Harmonic, subharmonic, superharmonic functions in two dimensions 42A16 Fourier coefficients, Fourier series of functions with special properties, special Fourier series 30C75 Extremal problems for conformal and quasiconformal mappings, other methods Keywords:Koebe function; convex mappings; close-to-convex mappings; typically real functions; distortion theorems; coefficient bounds; extreme points; kernel convergence; functions convex in one direction; starlike functions PDF BibTeX XML Cite \textit{J. Clunie} and \textit{T. Sheil-Small}, Ann. Acad. Sci. Fenn., Ser. A I, Math. 9, 3--25 (1984; Zbl 0506.30007) Full Text: DOI OpenURL