Growth of Polynomials not Vanishing inside a Circle

Gulshan Singh^1,

¹Department of Mathematics Jammu and Kashmir State Government of Education India

Cite this paper:
Gulshan Singh. Growth of Polynomials not Vanishing inside a Circle. Journal of Mathematical Sciences and Applications. 2014; 2(2):25-27. doi: 10.12691/jmsa-2-2-3

Abstract

is a polynomial of degree n, having no zeros in |z| < 1, then it was proved by Aziz and Dawood, [J. Approx. Theory, 53 (1988), 155-162] that for R≥1, In this paper, we refine above result for the polynomials P(z) of degree n≥4.

Keywords:
polynomial zeros inequalities growth

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References:

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[3]	K. K. Dewan, Naresh Singh and Abdullah Mir, Growth of polynomials not vanishing inside a circle, Int. Journal of Math. Analysis, 1 (11) (2007), 529-538.
[4]	M. Riesz, FIU ber einen Satz Herm Serge Bernstein, Acta Math., 40 (1916), 337-343.