On the Zeros of a Polynomial

Abstract

For a polynomial P(z)=Σa_jz^j+zⁿ, of degree n(≥3), with complex coefficients, where not all of the numbers a₀, a₁,...,a_n-s(s≥3), are equal to zero, a closed circular disc. where containing all its zeros has been obtained. The result is best possible and gives, in many cases, better upper bounds (for moduli of zeros of P(z)), than those obtainable by other results of similar type.