Ramesha, C and Kumar, Sampath and Padmanabhan, K S (1995) A Sufficient Condition for Starlikeness. Chinese journal of Mathematics, 23 (2). pp. 167-171.
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Abstract
In the present paper we derive a condition which is sufficient for function to be starlike. Let f(z) be an analytic function normalized by the conditions f(0) = f'(0)-1=0 and Re{z^2 f(z)/(f(z))+(zf(z))/(f(z))}>0,for ≥0. Then f(z) is starlike. If =1, then f(z) is strongly starlike of order 1/2.
Item Type: | Article |
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Uncontrolled Keywords: | Univalent, starlike, strongly starlike functions, subordination |
Subjects: | Engineering > MIT Manipal > Mathematics |
Depositing User: | MIT Library |
Date Deposited: | 08 Mar 2013 05:26 |
Last Modified: | 08 Mar 2013 05:26 |
URI: | http://eprints.manipal.edu/id/eprint/78896 |
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