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Zbl 0940.30003
Jahangiri, Jay M.
Harmonic functions starlike in the unit disk.
(English)
[J] J. Math. Anal. Appl. 235, No.2, 470-477 (1999). ISSN 0022-247X

An objective of this note is to study properties of sense preserving harmonic mappings $f(z)= z+ a_2z^2+\cdots+ b_1\overline z+\cdots,|z|<1$ that satisfy the condition ${\partial\over\partial\theta} (\arg f'(re^{i\theta}))\ge \alpha$, $0\le\alpha< 1$, $|z|= r$. Sufficient conditions (under some restrictions also necessary) are given and certain extremal questions are answered.
[E.Złotkiewicz (Lublin)]
MSC 2000:
*30C45 Special classes of univalent and multivalent functions

Keywords: harmonic mappings

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