Paper Title:

On the Hohov Convolution Of The Class S_p(α,β)

Author(s):

T. N. Shanmugam and S. Sivasubramanian

Department of Mathematics,
Anna University,
Chennai 600025,
Tamilnadu, India.
shan@annauniv.edu

Department of Mathematics,
Easwari Engineering College,
Chennai-600089,
Tamilnadu, India,
sivasaisastha@rediffmail.com

Abstract:

Let F(a,b;c;z) be the Gaussian hypergeometric function and I_a,b;c(f)=zF(a,b;c;z)*f(z) be the Hohlov operator defined on the class A of all normalized analytic functions. We determine conditions on the parameters a,b,c such that I_a,b;c(f) will be in the class of parabolic starlike functions S_p(α,β). Our results extend several earlier results.

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