On the growth of a class of Dirichlet series absolutely convergent in half-plane

In terms of generalized orders it is investigated a relation between the growth of a Dirichlet series $F(s)=\sum\limits_{n=1}^{\infty}a_n\exp\{s\lambda_n\}$ with the abscissa of asolute convergence $A\in (-\infty,+\infty)$ and the growth of Dirichlet series $F_j(s)=\sum\limits_{n=1}^{\infty}a_{n,j}\...

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Bibliographic Details
Main Authors: L.V. Kulyavetc', O.M. Mulyava
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2017-06-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/1448