Certain Results on the Logarithmic Order and Logarithmic Type for Entire Matrix Functions in Hyperspherical Region
DOI:
https://doi.org/10.22105/kmisj.v2i4.112Keywords:
Several complex matrices, Entire matrix functions, Hyperspherical region, Logarithmic order, Logarithmic typeAbstract
In this paper, we investigate the logarithmic growth of entire matrix functions of growth order zero. We show that the logarithmic order and the logarithmic type of entire functions in several complex matrix variables (FSCMVs) in hyperspherical regions. Examples are given to support the usability of our results.
Finally, a result concerning linear substitution of the logarithmic growth of FSCMVs is given.
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