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α-Subharmonic Functions

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Abstract

In this paper, we study the class of α-subharmonic functions. A number of important properties of α-subharmonic functions are proved, and an equivalent, more convenient definition of α-subharmonicity is given. The geometric structure of removable singularities for some classes of α-subharmonic functions is also described.

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Authors and Affiliations

  1. Urgench State University named after Al-Khorezmi, Urgench, Uzbekistan

    B. I. Abdullaev, S. A. Imomkulov & R. A. Sharipov

Authors
  1. B. I. Abdullaev
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  2. S. A. Imomkulov
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  3. R. A. Sharipov
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Correspondence to B. I. Abdullaev.

Additional information

Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 67, No. 4, Science — Technology — Education — Mathematics — Medicine, 2022.

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Abdullaev, B.I., Imomkulov, S.A. & Sharipov, R.A. α-Subharmonic Functions. J Math Sci 278, 395–407 (2024). https://doi.org/10.1007/s10958-024-06929-0

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