On the growth of a klasss of entire Dirichlet series

L. V. Kulyavetc', O. M. Mulyava

Abstract


In terms of generalized orders it is investigated a relation between the growth of an entire Dirichlet series $F(s)=\sum\limits_{n=1}^{\infty}a_n\exp\{s\lambda_n\}$ and the growth of entire Dirichlet series $F_j(s)=\sum\limits_{n=1}^{\infty}a_{n,j}\exp\{s\lambda_n\}$, $1\le j\le 2$, provided the coefficients $a_n$ are connected with the coefficients $a_{n,j}$ by some сorrelations.

Keywords


Dirichlet series, generalized order

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