Quasi-convolution of analytic functions with applications

Details Quasi-convolution of analytic functions with applications Quasi-convolution of analytic functions with applications

2010-04-15

arxiv.org/abs/1004.2658v1

Journal of Mathematical Inequalities (http://www.ele-math.com) 2 (2) (2008), 269 - 277

Mathematics

Complex Variables

Published.

Scientific paper

In this paper we define a new concept of quasi-convolution for analytic
functions normalized by $f(0)=0$ and $f^\prime(0)=1$ in the unit disk $E=\{z\in
\mathbb{C}\colon |z|<1\}$. We apply this new approach to study the closure
properties of a certain class of analytic and univalent functions under some
families of (known and new) integral operators.

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