Entire function of bounded and unbounded index in direction (in Ukrainian) |
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| Author |
matstud@franko.lviv.ua
Ivan Franko National University of Lviv
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| Abstract |
An example of an entire function of unbounded index in direction is constructed. Sufficient conditions of boundedness of $L$-index in direction of the entire function $f(z_{1}\cdot z_{2}),$ where $f(t)$ is an entire function in $t\in\mathbb{C},$ are obtained.
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| Keywords |
entire function, unbounded index in direciton, directional derivative
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| DOI |
doi:10.30970/ms.27.2.211-215
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Reference |
1. Бандура А.І., Скасків О.Б. Цілі функції обмеженого $L$ - індексу за напрямком// Математичні Студії. -- 2007. -- Т.27,№1. -- C.30--52.
2. Fricke G. H., Shah S. M. On bounded value distribution and bounded index// J. of Nonlinear Anal.: Theory, Meth. and Appl. -- 1978. -- V.2, №4. -- P.423--435. |
| Pages |
211-215
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| Volume |
27
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| Issue |
2
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| Year |
2007
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| Journal |
Matematychni Studii
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| Full text of paper | |
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