On the rate space of analytic sequences

Let Λπ denote the space of all analytic rate sequences. Let Γπ denote the space of all entire rate sequences. A subset of Γπ is χπ . This paper is devoted to a study of general properties of Λπ, Γπ, χπ . We note that χπ ⊂ Γπ ⊂ Λπ Mathematics Subject classification: 46A45