Estimates on Bloch constants for planar harmonic mappings

Journal of Mathematical Analysis and Applications

Volumn 337, Issue 2, 2008, Pages 880-887

  Xinzhong, Huang ^a  

^a HUAQIAO UNIVERSITY   (China)

Author keywords

Bloch constant; Harmonic mappings; Harmonic Schwarz lemma

Indexed keywords

EID: 34548610595     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2007.02.087     Document Type: Article

References (5)

1. Laudau E. Der Picard-Schottysche Satz und die Blochsche Konstanten (1926), Sitzungsber Press Akad. Wiss. Berlin Phys.-Math. Kl. pp. 467-474
2. Hayman W.K. Multivalent Functions. Cambridge Tracts in Math. second ed. vol. 110 (1994), Cambridge Univ. Press, Cambridge
3. Chen H., Gauthier P.M., and Hengartner W. Bloch constants for planar harmonic mappings. Proc. Amer. Math. Soc. 128 (2000) 3231-3240
4. Dorff M., and Nowak M. Laudau's theorem for planar harmonic mappings. Comput. Methods Funct. Theory 4 (2004) 151-158
5. Lewy H. On the non-vanishing of the Jacobian in certain one-to-one mappings. Bull. Amer. Math. Soc. 42 (1936) 689-692