Asymptotic Values of Entire Functions of Infinite Order

We prove that there exists an entire function for which every complex number is an asymptotic value and whose growth is arbitrarily slow subject only to the necessary condition that the function is of infinite order.

Uložené v:
Podrobná bibliografia
Vydané v:Computational methods and function theory Ročník 23; číslo 2; s. 381 - 392
Hlavní autori: Hinkkanen, Aimo, Miles, Joseph
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2023
Predmet:
Analysis
Computational Mathematics and Numerical Analysis
Functions of a Complex Variable
Mathematics
Mathematics and Statistics
Primary 30D20
Entire function
Asymptotic value
Secondary 31A05
ISSN:1617-9447, 2195-3724
On-line prístup:Získať plný text
Tagy: Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
Popis
Shrnutí:We prove that there exists an entire function for which every complex number is an asymptotic value and whose growth is arbitrarily slow subject only to the necessary condition that the function is of infinite order.
ISSN:1617-9447
2195-3724
DOI:10.1007/s40315-022-00464-2