Irregular finite order solutions of complex LDE's in unit disc

Chyzhykov, Igor; Filevych, P. V.; Gröhn, Janne; Heittokangas, Janne; Rättyä, Jouni

doi:10.1016/j.matpur.2022.02.001

Journal de Mathématiques Pures et Appliquées

2022

DOI: 10.1016/j.matpur.2022.02.001

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Irregular finite order solutions of complex LDE's in unit disc

Igor Chyzhykov

P. V. Filevych

Janne Gröhn

et al.

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2024

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Cited by 1 publication

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On the Growth Orders and Types of Biregular Functions

Yuan,

Karachik,

Wang

et al. 2024

Mathematics

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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.

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On the Growth Orders and Types of Biregular Functions

Yuan,

Karachik,

Wang

et al. 2024

Mathematics

View full text Add to dashboard Cite

show abstract

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Irregular finite order solutions of complex LDE's in unit disc

Cited by 1 publication

References 14 publications

On the Growth Orders and Types of Biregular Functions

On the Growth Orders and Types of Biregular Functions

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