Maximum modulus of slice entire regular functions of quaternionic variable with bounded index
DOI:
https://doi.org/10.64700/altay.8Keywords:
slice entire function, bounded index, maximum modulus, local behaviorAbstract
The manuscript contains new results describing local behavior of slice entire regular functions of quaternionic variable. There is selected such their subclass as functions having bounded index and for these functions we describe uniform estimate of their maximum modulus in a disc of larger radius by their maximum modulus in a disc of lesser radius multiplied on some constant.
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Copyright (c) 2025 Vita Baksa, Andriy Bandura, Olehs Skaskiv
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