Sufficient Conditions for Meromorphically p-Valent Starlikeness and Close-to-Convexity. (13th January 2013)

• Record Type: Journal Article
• Authors: Frasin, B. A.; Al-Hawary, Tariq; Darus, M.
• Other Names: Liu JinLin Academic Editor.
• Is Part Of: Geometry. Volume 2013(2013)
• Publication Date: 2013-01-13
• Subjects: Geometry -- Periodicals; Geometry; Periodicals; 516
• DOI: 10.1155/2013/497191
• Languages: English
• ISSNs: 2314-422X

Abstract

Abstract : Making use of the linear operator I λ m defined by (Frasin 2012), we introduce the class 𝕄 p, j m ( 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.