The proximate type and λ-proximate type of an entire Dirichlet series with index-pair (p, q)

The notion of proximate type for an entire Dirichlet series with index-pair (p, q) is introduced and its existence is proved. In order to study the lower proximate type, the idea has been extended to the case of entire functions of irregular (p, q)-growth. The proximate type for a class of entire Dirichlet series under certain conditions is constructed.