On the Radius of Univalence and Starlikeness for Certain Analytic Functions

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Authors

  • Annamalai University, Annamalainatar ,IN

DOI:

https://doi.org/10.18311/jims/1964/16854

Abstract

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)lg(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, 28(1), 71–80. https://doi.org/10.18311/jims/1964/16854