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A radius of convexity problem

Published online by Cambridge University Press:  17 April 2009

M.L. Mogra  and
O.P. Juneja
M.L. Mogra
Affiliation:
School of Mathematical Sciences, University of Khartoum, PO Box 321, Khartoum, Sudan;
O.P. Juneja
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kanpur 208016, India.
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Abstract

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The authors determine the sharp radius of convexity for functions analytic and starlike in the unit disc having power series representation of the form where an+1 is fixed. The estimate obtained is an improvement over the corresponding fixed second coefficient result. It is expected that this approach will lead to sharpening and improvement of a number of earlier known results.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 24 , Issue 3 , December 1981 , pp. 381 - 388
Copyright
Copyright © Australian Mathematical Society 1981

References

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