Work

On the Growth Orders and Types of Biregular Functions

Year: 2024

Type: article

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.

Source: Mathematics

DOI: 10.3390/math12233804

Authors: Hongfen Yuan, Valery Karachik, Danting Wang, Tieguo Ji

Institutions: Hebei University of Engineering, South Ural State University

Language: English

Topic: Algebraic and Geometric Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

Funders: National Natural Science Foundation of China, Natural Science Foundation of Hebei Province