Inequalities for a Polynomial and its Derivative

  • PUKHTA, MOHAMMAD SYED (Division of Agri. Statistics, Sher-e-Kashmir University of Agricultural Sciences and Technology of Kashmir)
  • Received : 2014.01.25
  • Accepted : 2014.08.21
  • Published : 2015.09.23


In this paper we consider the class of polynomials of the type $p(z)=z^s(a_0+{\Sigma}_{j={\mu}}^{n-s}ajz^j)$, $1{\leq}{\mu}{\leq}n-s$, $0{\leq}s{\leq}n-1$ having some zeros at origin and rest of zeros on or outside the boundary of a prescribed disk, and obtain the generalization of well known results.


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