Preservation of $l$-index boundedness of the Blaschke product under zeros shifts (in Ukrainian) |
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| Author |
Ivan Franko Lviv National University
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| Abstract |
For the Blaschke product with zeros $a_k$ and of bounded $l$-index the $l$-index boundedness of the product with zeros $a_k+\psi_k$ is investigated.
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| Keywords |
Blaschle product, bounded $l$-index, zeros shift
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| DOI |
doi:10.30970/ms.25.1.29-37
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Reference |
1. Sheremeta M.M. Analytic functions of bounded index. -- Lviv: VNTL Publishers. -- 1999. -- 141~p.
2. Строчик С.М., Шеремета М.М. Аналітичні в крузі функції обмеженого $l$-індексу // Доп. НАН України. -- 1993. -- № 1. -- С. 19-22. 3. Sheremeta M.M. Problems in the theory of entire functions of bounded index and functions of sine type // Matematychni Studii. -- 2001. -- V. 15, no 2. -- P. 217-224. 4. Bordulyak M.T., Chyzhykov I.E., Sheremeta M.M. Preservation of $l$-index boundedness under zeros shifts // Matematychni Studii. -- 2003. -- V.19, no 1. -- P. 21--30. 5. Trukhan Yu.S., Sheremeta M.M. On l-index boundedness of the Blaschke product // Matematychni Studii. -- 2003. -- V.19, no 1. -- P. 106-112. |
| Pages |
29-37
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| Volume |
25
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| Issue |
1
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| Year |
2006
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| Journal |
Matematychni Studii
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| Full text of paper | |
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