Maximum Modulus of Polynomials |
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| Authors: | BAZargar Bashir Shaista |
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| Institution: | Department of Mathematics, University of Kashmir, Srinagar, 190006, Jammu & Kashmir, India |
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| Abstract: | Let P(z) =n ∑j=0 ajzj be a polynomial of degree n and let M (P,r) =max|z=r|| P (z)|.If P (z) ≠ 0 in | z | ＜ 1,then M(P,r) ≥(1+r/1+ρ)n M(P,ρ).The result is best possible.In this paper we shall present a refinement of this result and some other related results. |
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| Keywords: | Maximum modulus growth of polynomial derivative |
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