Bi-Univalent Functions with Positive Real Part Derivatives

Bi-Univalent Functions with Positive Real Part Derivatives

We consider analytic bi-univalent functions whose derivatives have positive real part on the unit disk. Using the Faber polynomial expansions, we obtain upper bounds for the coefficients of such functions. In certain cases, our estimates improve some of those existing coefficient bounds. 2010 Mathem...

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Veröffentlicht in:Bulletin of the Malaysian Mathematical Sciences Society 2014-07, Vol.37 (3)
Hauptverfasser: Jahangiri, Jay M, Hamidi, Samaneh G, Halim, Suzeini Abd
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
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Zusammenfassung:We consider analytic bi-univalent functions whose derivatives have positive real part on the unit disk. Using the Faber polynomial expansions, we obtain upper bounds for the coefficients of such functions. In certain cases, our estimates improve some of those existing coefficient bounds. 2010 Mathematics Subject Classification:30C45, 30C50
ISSN:0126-6705
2180-4206