On the central exponent of absolutely convergent in the halfplane Dirichlet series (in Ukrainian) |
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| Author |
Department of Mechanics and Mathematics, Lviv University, Universytetska
1, Lviv, 290000, Ukraine
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| Abstract |
An example is constructed of Dirichlet series convergent in a
halfplane which disproves two known theorems on asymptotic behaviour of the
central exponent.
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| Keywords |
Dirichlet series, half-plane convergence, asymptotic behavior
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| DOI |
doi:10.30970/ms.2.1.35-40
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Reference |
1. Doetsch G. Über die obere Grenze des absoluten Betrages einer analytischen Funktion auf Geraden // Math. Z. 1920. Bd.8. S.237–240.
2. Дагене Е. О центральном показателе ряда Дирихле // Литовский матем. сборн. 1968. Т.8, N.3. C.503–520. 3. Стрелиц Ш.И. Асимптотические свойства аналитических решений дифференциальных уравнений.– Вильнюс: Минтис, 1972. 468 с. 4. Евграфов М.А. Асимптотические оценки и целые функции.– М.: Наука. 1979. 320 с. Department of Mechanics and Mathematics, Lviv University, Universytetska 1, Lviv, 290000, Ukraine |
| Pages |
35-40
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| Volume |
2
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| Issue |
1
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| Year |
1993
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| Journal |
Matematychni Studii
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| Full text of paper | |
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