Coefficients of Meromorphic Bi-Bazilevic Functions. (9th March 2014)

• Record Type: Journal Article
• Authors: Jahangiri, Jay M.; Hamidi, Samaneh G.
• Other Names: Xu Yan Academic Editor.
• Is Part Of: Journal of complex analysis. Volume 2014(2014)
• Publication Date: 2014-03-09
• Subjects: Functions of complex variables -- Periodicals; Mathematical analysis -- Periodicals; 515.905
• DOI: 10.1155/2014/263917
• Languages: English
• ISSNs: 2314-4963

Abstract

Abstract : A function is said to be bi-Bazilevic in a given domain if both the function and its inverse map are Bazilevic there. Applying the Faber polynomial expansions to the meromorphic Bazilevic functions, we obtain the general coefficient bounds for bi-Bazilevic functions. We also demonstrate the unpredictability of the behavior of early coefficients of bi-Bazilevic functions.