IJPAM: Volume 38, No. 2 (2007)

A NOTE ON CERTAIN INTEGRAL OPERATORS

S. Latha$^1$, N. Poornima$^2$
$^1$Department of Mathematics and Computer Science
Maharaja's College
University of Mysore
Mysore, Karnataka, 570 005, INDIA
e-mail: drlatha@gmail.com.
$^2$Department of Mathematics
Yuvaraja's College
University of Mysore
Mysore, Karnataka, 570 005, INDIA
e-mail: poornimn@gmail.com


Abstract.Let $\mathcal{N}$ denote the class of functions of the form

\begin{displaymath}f(z)=z+\displaystyle\sum_{n=2}^{\infty}a_{n}z^{n}\end{displaymath}

analytic in the open unit disk $\mathcal{E}=\{z: \vert z\vert < 1\}$. We define the subclasses $\mathcal{U}_{k}^{\alpha}(\lambda, \mu, \rho)$ and $\mathcal{V}_{k}^{\alpha}(\lambda, \mu, \rho)$ of $\mathcal{N}$ using certain integral operators and their inclusion properties are studied.

Received: May 10, 2007

AMS Subject Classification: 30C45

Key Words and Phrases: univalent functions, Hadamard product, integral operators, convex and $\lambda$-spiral like functions

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 38
Issue: 2