Korean J. Math. Vol. 19 No. 4 (2011) pp.351-365
DOI: https://doi.org/10.11568/kjm.2011.19.4.351

A NEW SUBCLASS OF ANALYTIC FUNCTIONS DEFINED BY CONVOLUTION

Main Article Content

S. K. Lee
S. M. Khairnar

Abstract

In the present paper we introduce a new subclass of analytic functions in the unit disc defined by convolution (f_μ)^(−1)* f(z), where

f_μ = (1 − μ)z 2 F_1(a,b;c;z) + μz(z 2 F_1(a,b;c;z))′.
Several interesting properties of the class and integral preserving

properties of the subclasses are also considered.



Article Details