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Growth of polynomials whose zeros are within or outside a circle

Published online by Cambridge University Press:  17 April 2009

Abdul Aziz
Abdul Aziz
Affiliation:
Post-Graduate Department of Mathematics, University of Kashmir, Hazratbal Srinagar- 190006, Kashmir, India.
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Abstract

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Let P (z) be a polynomial of degree n which does not vanish in the disk |z| < K. For K = 1, it is known that

In this paper we consider the two cases K ≥ 1 and K < 1, and present certain generalizations of these results.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 35 , Issue 2 , April 1987 , pp. 247 - 256
Copyright
Copyright © Australian Mathematical Society 1987

References

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