The Compactness of the Family of A(z)-Analytic Functions
DOI:
https://doi.org/10.23851/mjs.v34i3.1334Keywords:
A(z)-analytic function, Cauchy integral formula, Taylor seriesAbstract
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.
Received: 07/03/2023
Revised: 20/04/2023
Accepted: 28/05/2023
Downloads
References
V. U. E. V.Gutlyanski, “The Beltrami equation,” Journal of Mathematical Sciences , vol. 175, pp. 413-449, 2011.
I.N.Vekua, Generalized analytical functions, Nauka: Moscow (in Russian), 1988.
G. M. Tadeusz Iwaniec, The Beltrami Equation, Providence, Rhode Island: American Mathematical Society , 2008.
V. G. a. V. R. Bogdan Bojarski, "On integral conditions for the general Beltrami equations," Complex Analysis and Operator Theory, vol. C 5.3, pp. 835-845, 2011.
V. G. V. R. Bodgan Bojarski, "On the Beltrami equations with two characteristics," Complex Variables and Elliptic Equations, vol. 54, no. 10, pp. 935-950, 2009.
A. Gym, "Inversion formulas in inverse problems," in Linear operators and ill-posed problems, Moscow, Nauka, 1991.
N. A. Sadullaev, "On a class of A-analytic functions," Journal of Siberian Federal University, vol. 9, no. 3, pp. 374-383., 2016.
J. B. Conway, Functions of one complex variable II, Springer Science & Business Media, 2012.
Downloads
Key Dates
Published
Issue
Section
License
Copyright (c) 2023 Al-Mustansiriyah Journal of Science
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
(Starting May 5, 2024) Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution (CC-BY) 4.0 License that allows others to share the work with an acknowledgement of the work’s authorship and initial publication in this journal.
How to Cite
