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Volume :13 Issue : 1 1986
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On the zeros of a polynomial and its derivative. I
Auther : Q.M. TARIQ
Department of Mathematics, Indian Institute of Technology, Kanpur 208 016, India
ABSTRACT
Let p(z) be a polynomial having all its zeros in the closed unit disk. Given that a is a zero of multiplicity k we seek to determine the smallest disk centred at a containing at least k zeros of the derivative p(z).