On the logarithmic derivative of an entire |
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| Author |
Faculty of Mechanics and Mathematics, Lviv National University
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| Abstract |
A conjecture on the existence of an entire function $f$ with
a prescribed asymptotics of $f'(r)/f(r)$ as $r\to+\infty$ is formulated.
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| Keywords |
entire function, asymptotic behavior, logarithmic derivative, prescribed asymptotics, growth of entire functions, complex analysis
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| DOI |
doi:10.30970/ms.16.1.107-109
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Reference |
1. Daniluk A. On the asymptotic behaviour of the logarithmic derivative of the entire function, Univ. Iagel. Acta math. (1996), № 33, 215–217.
2. Clunie J. On entire functions having prescribed growth, Canad. J. Math. 17 (1965), 396–404. 3. Братищев А.В. Об обращении правила Лопиталя, Мех. сплошной среды, Ростов-на-Дону: Изд.-во РГУ (1985), 28–42. |
| Pages |
107-109
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| Volume |
16
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| Issue |
1
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| Year |
2001
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| Journal |
Matematychni Studii
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| Full text of paper | |
| Table of content of issue |