On Certain Subclass of Analytic Functions with Fixed Point. (14th February 2013)

• Record Type: Journal Article
• Authors: Al-Hawary, T.; Frasin, B. A.; Darus, M.
• Other Names: Li Yongkun Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2013(2013)
• Publication Date: 2013-02-14
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2013/312387
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : A new certain differential operator T α, β, δ, λ m f ( z ) and a subclass S m, w * ( α, β, γ, δ, λ ) are introduced for functions of the form f ( z ) = ( z − w ) − ∑ n = 2 ∞ a n ( z − w ) n which are univalent in the unit disc U = { z ∈ ℂ : | z | < 1 } . In this paper, we obtain coefficient inequalities, distortion theorem, closure theorems, and class preserving integral operators of functions belonging to the class S m, w * ( α, β, γ, δ, λ ) .