On the Derivative of a Polynomial with Prescribed Zeros
Journal Title: Journal of Mathematics and Applications - Year 2017, Vol 40, Issue
Abstract
For a polynomial [formula] of degree n having all its zeros in |z| ≤ K, K ≥ 1it is known that [formula]. By assuming a possible zero of order m, 0 ≤m ≤ n – 4, at z=0, of p(z) for n ≥ k + m + 1 with integer k ≥ 3 we have obtained a new refinement of the known result.
Authors and Affiliations
Vinay K. Jain
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