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A subclass of univalent functions

Published online by Cambridge University Press:  09 April 2009

R. M. Goel  and
Beant Singh Mehrok
R. M. Goel
Affiliation:
Department of Mathematics, Panjabi University, Patiala-147002, (Panjab State), India
Beant Singh Mehrok
Affiliation:
Department of Mathematics, Panjabi University, Patiala-147002, (Panjab State), India
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Abstract

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Sharp results for the cofficient estimates, distortion theorems, radius of convexity, arc-length and area of the image curve are obtained for the class R(A, B) of regular functions whose derivative is subordinate to (1+AZ)/(1+Bz), -1 ≤ B ≤ A ≤ 1, in the unit disc E = {z:|z| < 1}. We also establish a convolution theorem for this class.

Keywords

quasi-subordinationsubordinationmajorizationsubclass of univalent functionsconvolution (Hadamard product).
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 35 , Issue 1 , August 1983 , pp. 1 - 17
Copyright
Copyright © Australian Mathematical Society 1983

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