Article

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

Ahmed Khalaf RadhiDepartment of Mathematics, College of Science, Mustansiriyah University, 10052 Baghdad, IRAQGregory M. LyanDepartment of Mathematics Analysis, College of Mathematics, National University of Uzbekistan, Tashkent, Uzbekistan

Al-Mustansiriyah Journal of Sciencejournal2023en

ABI

Abstract

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.

Topics

Analytic and geometric function theory Mathematical Analysis and Transform Methods Algebraic and Geometric Analysis

Identifiers

DOI: 10.23851/mjs.v34i3.1334

Citations and references

Cited by 05 references

Metrics — AkademScholar · Coming soon