Open AccessCertain subclasses of uniformly convex functions of order α and type β with varying arguments
Author(s) -
Nanjundan Magesh
Publication year - 2013
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2013.02.005
Subject(s) - mathematics , convexity , hadamard transform , extreme point , type (biology) , distortion (music) , convex function , regular polygon , order (exchange) , argument (complex analysis) , pure mathematics , combinatorics , mathematical analysis , geometry , amplifier , biochemistry , chemistry , cmos , electronic engineering , financial economics , engineering , ecology , finance , economics , biology
In this paper, we define a new subclass of k-uniformly convex functions order α type β with varying argument of coefficients and obtain coefficient estimates. Further we investigate extreme points, growth and distortion bounds, radii of starlikeness and convexity and modified Hadamard products