Class of Multivalent Analytic Functions Defined by a Linear Operator. (9th January 2013)

• Record Type: Journal Article
• Authors: Frasin, B. A.
• Other Names: Li Bao Qin Academic Editor.
• Is Part Of: Journal of complex analysis. Volume 2013(2013)
• Publication Date: 2013-01-09
• Subjects: Functions of complex variables -- Periodicals; Mathematical analysis -- Periodicals; 515.905
• DOI: 10.1155/2013/509717
• Languages: English
• ISSNs: 2314-4963

Abstract

Abstract : Making use of the linear operator J p m ( λ, l ) defined in (Prajapat, 2012), we introduce the class 𝔹 p m ( λ, l, μ, α ) of analytic and p -valent functions in the open unit disk 𝒰 . Furthermore, we obtain some sufficient conditions for starlikeness and close-to-convexity and some angular properties for functions belonging to this class. Several corollaries and consequences of the main results are also considered.