Vector-valued bivariate entire functions of bounded index satisfying a system of differential equations |
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| Author |
fnuray@aku.edu.tr1, rpatters@unf.edu2
1) Department of Mathematics, Afyon Kocatepe University,
Afyonkarahisar, Turkey; 2) Department of Mathematics and Statistics
University of North Florida, Jacksonville, Florida
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| Abstract |
The concept of complex valued bivariate entire functions of bounded index is extended to $\mathbb{C}^{n}$ valued bivariate entire functions
by replacing the absolute value in the definition of an entire function of bounded index by the maximum of the
absolute values of the components. If the components of a $\mathbb{C}^{n}$-valued bivariate entire function are of bounded index, then
the function is also of bounded index. We present sufficient conditions providing index boundedness of bivariate vector-valued entire solutions of certain system of partial differential equations.
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| Keywords |
entire function; bivariate function; bounded index
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| DOI |
doi:10.15330/ms.49.1.67-74
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| Reference |
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| Pages |
67-74
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| Volume |
49
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| Issue |
1
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| Year |
2018
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| Journal |
Matematychni Studii
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| Full text of paper | |
| Table of content of issue |