On the equivalence of the sum and the maximal term of the Dirichlet series absolutely convergent in the half-plane
For absolutely convergent in the half-plane $\{z\colon {\rm Re\,}z<0\}$ Dirichlet series $ F(z)=\sum\limits_{n=0}^{+\infty}a_ne^{z\lambda_n},$ where $0\leq\lambda_n\uparrow +\infty\ (0\leq n\uparrow +\infty),$ we establish conditions on the coefficients of its Newton majorant, sufficient for...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Vasyl Stefanyk Precarpathian National University
2012-12-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
| Online Access: | http://journals.pu.if.ua/index.php/cmp/article/view/18 |