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    Browsing by Subject order and type of growth

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    • TCTL.0000094_New properties on the growth of ultrametric entire functions and applications.pdf.jpg
    • Bài báo/Newspaper

    • New properties on the growth of ultrametric entire functions and applications

      • Authors: Alain Escassut (2024)

    • Let IK be a complete ultrametric algebraically closed field and let f be an entire function in IK whose order of growth is finite. We show that the type of growth is finite if and only if so is the cotype. We give bounds for the cotype of growth and also for the lower cotype of growth. We show that the type of growth of f is equal to its lower type if and only if its cotype is equal to its lower cotype and when these are realised, then the cotype is the product of the type by the order of growth and the order of growth (if > 0), is then equal to the lower order of growth. If an entire function h has an order of growth strictly inferior to the lower order of an entire function f, then ...