IJPAM: Volume 18, No. 3 (2005)

ON CERTAIN CLASSES
OF $P$-VALENT FUNCTIONS

Khalida Inayat Noor
Department of Mathematics and Computer Science
College of Science
United Arab Emirates University
P.O. Box 17551, Al-Ain, UNITED ARAB EMIRATES
e-mail: khalidan@uaeu.ac.ae


Abstract.We define certain subclasses of $p$-valent functions analytic in the unit disk. We study some interesting properties of integral operators:

\begin{displaymath} I^{\alpha }_{n}(f(z)) = \frac{\alpha +1}{z^{\alpha +1}}\int ^{z}_{0}t^{\alpha }(I_{n-1}(f(t)))dt \quad \quad (\alpha > -1) \end{displaymath}

for $f(z) $ belonging to these classes.

Received: November 24, 2004

AMS Subject Classification: 30C45, 30C50

Key Words and Phrases: function with positive real part, $p$-valent, integral operator, Bazilevic functions

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 18
Issue: 3