reapress null reapress 3042-3090 3042-3090 reapress https://doi.org/10.22105/kmisj.v2i4.112 Research Article Several complex matrices, Entire matrix functions, Hyperspherical region, Logarithmic order, Logarithmic type Certain Results on the Logarithmic Order and Logarithmic Type for Entire Matrix Functions in Hyperspherical RegionCertain Results on the Logarithmic Order and Logarithmic Type for Entire Matrix Functions in Hyperspherical Region Elmageed Hala Abd Department of Mathematics, College of Science and Humanities in Al-Kharj Prince Sattam bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia. Mathematics Department, Faculty of Science, Qena University, Qena, 83523, Egypt. Mohamed Abdalla Mathematics Department, Faculty of Science, Qena University, Qena, 83523, Egypt. Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia. Aslonqulovich Juraev Davron Scientific Research Center, Baku Engineering University, Baku AZ0102, Azerbaijan. Postdoctoral Department, Turon,University, Karshi 180100, Uzbekistan. Postdoctoral Department, International Engineering and Technology Institute, Hong Kong, China. 12 2025 02 12 2025 2 4 © 2025 reapress 2025

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 Certain Results on the Logarithmic Order and Logarithmic Type for Entire Matrix Functions in Hyperspherical Region

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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