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 ${zcolon {mRe,}z<0}$ Dirichlet series $F(z)=sumlimits_{n=0}^{+infty}a_ne^{zlambda_n},$ where $0leqlambda_nuparrow +infty (0leq nuparrow+infty),$ we establish conditions on the coefficients of itsNewton majorant, sufficient for the relation $F(x+iy)=(1+o...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Vasyl Stefanyk Precarpathian National University
2009-06-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
| Online Access: | http://journals.pu.if.ua/index.php/cmp/article/view/18/15 |