On the Zeros of the Power Series with an Application to Discontinuous Riesz-Summability

Abstract

On the zeros of . If not stated otherwise, we assume throughout that κ > 0, c > 1, and that k < κ ≤ k + 1 where k = 0, 1, 2, … We reserve the symbol x to denote real numbers, and define C* = C-{x:x <-1}, C being the complex plane. Let