On a class of entire functions represented by Dirichlet series

Abstract

The present paper deals with the study on a class of entire functions represented by Dirichlet series whose coefficients belong to a commutative Banach algebra with identity. We consider a class of such series which satisfy certain conditions and establish some results.

Keywords

• Dirichlet series
• Banach algebra
• Topological zero divisor
• Division algebra
• Continuous linear functional