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


  • Ahmed Khalaf Radhi Department of Mathematics, College of Science, Mustansiriyah University, 10052 Baghdad, IRAQ.
  • Gregory M. Lyan Department of Mathematics Analysis, College of Mathematics, National University of Uzbekistan, Tashkent, Uzbekistan.



A(z)-analytic function, Cauchy integral formula, Taylor series


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.


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Original Article

How to Cite

A. K. Radhi and G. M. . Lyan, “The Compactness of the Family of A(z)-Analytic Functions”, Al-Mustansiriyah Journal of Science, vol. 34, no. 3, pp. 102–107, Sep. 2023, doi: 10.23851/mjs.v34i3.1334.

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