ON UNIQUENESS OF HOLOMORPHIC AND BOUNDED OUTSIDE THE CLOSED LOGARITHMIC SECTOR FUNCTIONS REPRESENTABLE BY LACUNARY POWER SERIES
DOI:
https://doi.org/10.46991/PYSU:A/2009.43.1.061Keywords:
closed logarithmic, sector, lacunary power series, coefficient function method, analytic continuationAbstract
In the present note it is shown that for a set of positive integers $\wedge$ a Müntztype condition holds if and only if there exists a lacunary power series $f(z)=\sum\limits_{v\in\wedge} f_v/z^v$ that allows an analytic and bounded continuation to the complement of a closed logarithmical sector with vertex at the origin.
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2009-02-19
How to Cite
Mkrtchyan, S. E. (2009). ON UNIQUENESS OF HOLOMORPHIC AND BOUNDED OUTSIDE THE CLOSED LOGARITHMIC SECTOR FUNCTIONS REPRESENTABLE BY LACUNARY POWER SERIES. Proceedings of the YSU A: Physical and Mathematical Sciences, 43(1 (218), 61–63. https://doi.org/10.46991/PYSU:A/2009.43.1.061
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Short Communications
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Copyright (c) 2009 Proceedings of the YSU
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