Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

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

Cited in: Zbl 1144.30009 Zbl 1145.30303 Zbl 1066.31001

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]