Open AccessA subclass of close-to-convex functions
Author(s) -
Zheng Lv Zhang,
Qing Xu
Publication year - 2013
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.44.2013.1008
Subject(s) - subclass , mathematics , regular polygon , distortion (music) , unit disk , class (philosophy) , combinatorics , convex function , function (biology) , unit (ring theory) , univalent function , pure mathematics , discrete mathematics , analytic function , geometry , computer science , mathematics education , amplifier , computer network , bandwidth (computing) , artificial intelligence , evolutionary biology , antibody , immunology , biology
In this paper, we introduce and investigate an interesting subclass $mathcal {J}_alpha(h)$ of analytic and close-to-convex function in the open unit disk D. several coefficient inequalities, growth, and distortion theorem for this class are proved. The various results presented here would generalize many know results