On the Radius of Univalence and Starlikeness for Certain Analytic Functions
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Authors
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Department of Mathematics, Andhra University, Waltair ,IN
K. S. Padmanabhan
DOI:
https://doi.org/10.18311/jims/1965/16825Abstract
Throughout this paper we assume that
(1) f(z) = z + a2z2 + is analytic for ¦z¦ < 1 and
(2) g(z) = z + b2z2 + is analytic and univalent for ¦z¦ < 1. Recently T. H. MacGregor [4] determined the radius of univalence of functionsf(z) satisfying ¦f(z)¦g(z) - 1 ] < 1, for ¦ z ¦ < 1.
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Published
1965-06-01
How to Cite
Padmanabhan, K. S. (1965). On the Radius of Univalence and Starlikeness for Certain Analytic Functions. The Journal of the Indian Mathematical Society, 29(1-2), 71–80. https://doi.org/10.18311/jims/1965/16825
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Copyright (c) 1965 K. S. Padmanabhan
This work is licensed under a Creative Commons Attribution 4.0 International License.
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