In this paper we shall continue our study of a one parameter family of matrix methods of summability introduced into the literature by G. H. Hardy [3] as the " circle methods " of summability.
In a recent paper [1] by the present authors concerned with zero-free regions of polynomials
P(z) = a0 + a1Zλ1 + … + anZλn (1.1)
where all aq are assumed to be different from zero, and where the λk are positive integers satisfying the relation λ1 < λ2 < … < λn, the following theorem was proved.
