Work

Slice entire functions of quaternionic variable of bounded index

Year: 2025

Type: article

Abstract: UDC 517.55+512.78 We continue our investigations of the local properties of entire slice regular functions of quaternionic variable. For this class of functions, we introduce the notion of index. The boundedness of index is characterized by the local behavior of the maximum modulus of slice derivative on certain discs. The corresponding maximum is uniformly estimated by the value of the modulus of slice derivative at the center of the disc. The presented results are quaternionic generalizations of the known Fricke theorems for entire functions of complex variable.

Source: Ukrains’kyi Matematychnyi Zhurnal

DOI: 10.3842/umzh.v77i5.8927

Authors: V. Baksa, A. Bandura, O. Skaskiv

Institutions: Lviv Polytechnic National University, Ivano-Frankivsk National Technical University of Oil and Gas, Lviv University

Language: English

Topic: Algebraic and Geometric Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4412048270

FWCI:

Cites: 25

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Related to: 10