Dirichlet series of bounded $l$-$M$-index |
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| Author |
Department of Mechanics and Mathematics, Lviv State University,Universytetska 1, 290602, Lviv, Ukraine
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| Abstract |
The class of absolutely convergent in $(-\infty,A)$, $A\in (-\infty,+\infty]$,
Dirichlet series of bounded linear $l$-$M$-index is introduced. The growth of
functions from this class is investigated.
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| Keywords |
absolutely convergent Dirichlet series, growth of function, analytic function growth, complex analysis
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| DOI |
doi:10.30970/ms.11.2.159-166
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Reference |
1. Kuzyk A.D., Sheremeta M.M. Entire functions of bounded value $l$-distribution Matem. zametki. -- 1986. -- V.39, № 1. -- P.3--13. (in Russian)
2. Kuzyk A.D., Sheremeta M.M. Entire functions of bounded $l$-index Dopovidi AN URSR, ser.A. -- 1988. -- № 6. -- P.15--17. (in Ukrainian) 3. Sheremeta M.N. On the derivative of an entire function Ukr. matem. journ. – 1988. –V.40, № 2. – P.219–224. (in Russian) 4. Abuarabi Sh., Sheremeta M.M. Entire functions of bounded $l$-$M$-index Dopovidi AN URSR, ser.A. -- 1989. -- № 11. -- P.3--5. (in Ukrainian) 5. Sheremeta M.M., Fedynjak S.I. On the derivative of Dirichlet series Sibirsk. matem. journ. – 1998. – V. 39, № 1. – P.206–223. (in Russian) |
| Pages |
159-166
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| Volume |
11
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| Issue |
2
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| Year |
1999
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| Journal |
Matematychni Studii
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| Full text of paper | |
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