IJPAM: Volume 47, No. 1 (2008)
SUBORDINATION RESULTS AND INTEGRAL MEANS
FOR CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS
FOR CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS
G. Murugusundaramoorthy
, N. Magesh
School of Science and Humanities
VIT University
Vellore, 632014, INDIA
e-mail: gmsmoorthy@yahoo.com
Department of Mathematics
Adhiyamaan College of Engineering (Autonomous)
Hosur, 635109, INDIA
e-mail: nmagi_2000@yahoo.co.in
, N. Magesh
School of Science and Humanities
VIT University
Vellore, 632014, INDIA
e-mail: gmsmoorthy@yahoo.com
Department of Mathematics
Adhiyamaan College of Engineering (Autonomous)
Hosur, 635109, INDIA
e-mail: nmagi_2000@yahoo.co.in
Abstract.In this paper, we introduce a generalized class of starlike
functions and obtain the subordination results for various
subclasses of starlike functions. Further, we obtain the integral
means inequalities for various subclasses of starlike functions.
Some interesting consequences of our results are also pointed
out.
Received: May 1, 2008
AMS Subject Classification: 30C45, 30C80
Key Words and Phrases: univalent, starlike, convex, subordinating factor sequence, integral means, Hadamard product, generalized hypergeometric functions
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 47
Issue: 1
