The Compactness of the Family of A(z)-Analytic Functions

Autor: Ahmed Khalaf Radhi, Gregory M. Lyan
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Al-Mustansiriyah Journal of Science, Vol 34, Iss 3 (2023)
Druh dokumentu: article
ISSN: 1814-635X
2521-3520
DOI: 10.23851/mjs.v34i3.1334
Popis: In recent years, the Beltrami equation has garnered the attention of numerous researchers for the study of its analytical properties. Therefore, in this paper, we investigate certain properties of an analogue of the Cauchy integral for A(z)-analytic functions, utilizing the analytical properties of the Beltrami equation. Additionally, we obtain the compactness conditions for a family of functions within an A(z)-lemniscate.
Databáze: Directory of Open Access Journals