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On One Representation of a Generalized Holomorphic Vector Via the Derivatives of Harmonic Functions

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We study the theory of first-order elliptic systems and generalized holomorphic vectors. By using the Moisil–Teodorescu system, we construct a representation of generalized holomorphic vector via the derivatives of two harmonic functions of three independent variables.

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References

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Authors and Affiliations

  1. Al Farabi Kazakh National University, Almaty, Kazakhstan

    J. А. Tokibetov & G. Е. Abduakhitova

  2. Abai Kazakh National Pedagogical University, Almaty, Kazakhstan

    R. М. Kaparova

Authors
  1. J. А. Tokibetov
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  2. G. Е. Abduakhitova
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  3. R. М. Kaparova
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Corresponding author

Correspondence to G. Е. Abduakhitova.

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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 63, No. 2, pp. 29–35, April–June, 2020.

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Tokibetov, J.А., Abduakhitova, G.Е. & Kaparova, R.М. On One Representation of a Generalized Holomorphic Vector Via the Derivatives of Harmonic Functions. J Math Sci 272, 29–37 (2023). https://doi.org/10.1007/s10958-023-06397-y

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  • DOI: https://doi.org/10.1007/s10958-023-06397-y

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