On the remainder of Dirichlet series |
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| Author |
Faculty of Mechanics and Mathematics, ,Lviv Ivan Franko National University
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| Abstract |
For Dirichlet series
$\sum_{n=1}^{\infty}a_n \exp \{s\lambda_n\}$ with nonnegative exponents an
asymptotic behaviour of the remainder $\sum_{k=n}^{\infty}|a_k| \exp
\{\sigma\lambda_k\}$ as $n\to\infty$ is investigated.
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| Keywords |
Dirichlet series, nonnegative exponents, asymptotic behaviour
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| DOI |
doi:10.30970/ms.19.1.55-60
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Reference |
1. Гече Ф. И., Онипчук С. В. Об абсциссах сходимости ряда Дирихле и его мажоранте Ньютона // Укр. мат. ж. – 1974. – Т. 26, № 2. – C.161–168.
2. Леонтьев Ф. Ф. Ряды экспонент. – М.: Наука. – 1976. – 536 с. |
| Pages |
55-60
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| Volume |
19
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| Issue |
1
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| Year |
2003
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| Journal |
Matematychni Studii
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| Full text of paper | |
| Table of content of issue |