Sufficient Conditions for Meromorphically p-Valent Starlikeness and Close-to-Convexity

Sufficient Conditions for Meromorphically p-Valent Starlikeness and Close-to-Convexity

Making use of the linear operator Iλm defined by (Frasin 2012), we introduce the class Mp,jm(λ,μ,α) of meromorphically p-valent functions in the punctured unit disk U∗. Furthermore, we obtain some sufficient conditions for starlikeness and close-to-convexity for functions belonging to this class. Se...

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Veröffentlicht in:Geometry: An International Journal 2013-01, Vol.2013, p.1-6
Hauptverfasser: Frasin, B. A., Al-Hawary, Tariq, Darus, M.
Format: Artikel
Sprache:eng
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Zusammenfassung:Making use of the linear operator Iλm defined by (Frasin 2012), we introduce the class Mp,jm(λ,μ,α) of meromorphically p-valent functions in the punctured unit disk U∗. Furthermore, we obtain some sufficient conditions for starlikeness and close-to-convexity for functions belonging to this class. Several corollaries and consequences of the main results are also considered.
ISSN:2314-422X
2314-4238
DOI:10.1155/2013/497191