期刊名称:International Journal of Mathematics and Mathematical Sciences
印刷版ISSN:0161-1712
电子版ISSN:1687-0425
出版年度:2010
卷号:2010
DOI:10.1155/2010/343580
出版社:Hindawi Publishing Corporation
摘要:M. H. Al-Abbadi and M. Darus (2009) recently introduced a new generalized derivative
operator 𝜇𝜆𝑛,𝑚1,𝜆2, which generalized many well-known operators studied earlier
by many different authors. In this present paper, we shall investigate a new
subclass of analytic functions in the open unit disk 𝑈={𝑧∈ℂ∶|𝑧|<1} which is defined by new generalized derivative operator. Some results on coefficient inequalities, growth and distortion theorems, closure theorems, and extreme points of analytic functions belonging to the subclass are obtained.