On the Growth Orders and Types of Biregular Functions

Hongfen Yuan (), Valery Karachik, Danting Wang and Tieguo Ji
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Hongfen Yuan: School of Mathematics and Physics, Hebei University of Engineering, Handan 056038, China
Valery Karachik: Department of Mathematical Analysis and Methods of Teaching Mathematics, South Ural State University, 454080 Chelyabinsk, Russia
Danting Wang: School of Mathematics and Physics, Hebei University of Engineering, Handan 056038, China
Tieguo Ji: School of Mathematics and Physics, Hebei University of Engineering, Handan 056038, China

Mathematics, 2024, vol. 12, issue 23, 1-13

Abstract: One of the main aims of Clifford analysis is to study the growth properties of regular functions. Biregular functions are a well-known generalization of regular functions. In this paper, the growth orders and types of biregular functions are studied. First, generalized growth orders and types of biregular functions are defined in the context of Clifford analysis. Then, using the methods of Wiman and Valiron, generalized Lindelöf–Pringsheim theorems are proved, which show the relationship between growth orders, growth types, and Taylor series. These connections allow us to calculate the growth order and determine the type of biregular functions.

Keywords: biregular functions; Clifford analysis; Taylor series (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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