The valence of harmonic polynomials

Proceedings of the American Mathematical Society

Volumn 126, Issue 7, 1998, Pages 2077-2081

  Wilmshurst, A S ^a  

^a UNIVERSITY OF YORK   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22044436889     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-98-04315-9     Document Type: Article

References (6)

1. J. Clunie and T. Sheil-Small, Harmonic univalent functions, Ann. Acad. Sci. Fenn. Ser. A I Math. 9 (1984), 3-25. MR 85i:30014
2. F. Kirwan, Complex Algebraic Curves, Cambridge University Press (1992). MR 93j:14025
3. A. Lyzzaik, On the valence of some classes of harmonic maps, Math. Proc. Cambridge Philos. Soc. 110 (1991), 313-325. MR 92f:31001
4. _, Local properties of light harmonic mappings, Canad. J. Math. 44 (1992), 135-153. MR 93e:30048
5. T. Sheil-Small, On the Fourier series of a finitely described convex curve and a conjecture of H. S. Shapiro, Math. Proc. Cambridge Philos. Soc. 98 (1985), 513-525. MR 86m:42009
6. A. S. Wilmshurst, Complex harmonic mappings and the valence of harmonic polynomials, D. Phil, thesis, University of York, England, 1994.