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On deviations and maximum points of algebroid functions of finite lower order

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We consider the influence of the number of separated maximum points and Valiron deficiency over the magnitude of Petrenko's deviation of algebroid functions of finite lower order. Presented results are… Click to show full abstract

We consider the influence of the number of separated maximum points and Valiron deficiency over the magnitude of Petrenko's deviation of algebroid functions of finite lower order. Presented results are the generalization of Petrenko's and Niino's results. We also give examples showing that the estimates are sharp.

Keywords: algebroid functions; finite lower; maximum points; functions finite; lower order

Journal Title: Kodai Mathematical Journal
Year Published: 2021

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