Locally tauberian theorems for meromorphic functions of lower order less than one
Locally tauberian theorems for meromorphic functions of lower order less than one
Recently, Edrei and Fuchs [8] returned to Valiron's original approach; they proved a tauberian theorem concerning meromorphic functions of order A S I having all their zeros negative and all their poles positive.Theorem 1 of this note is, in many respects, similar to Theorem 1 of [8].The main difference lies …