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


Tokibetov J.А. Abduakhitova G.Е. Kaparova R.М.
May 2023Springer

Journal of Mathematical Sciences (United States)
2023#272Issue 129 - 37 pp.

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.

Cauchy–Riemann problem , Cauchy–Riemann system , elliptic equations , generalized holomorphic vector , harmonic functions , Moisil–Teodorescu system

Text of the article Перейти на текст статьи

Al Farabi Kazakh National University, Almaty, Kazakhstan
Abai Kazakh National Pedagogical University, Almaty, Kazakhstan

Al Farabi Kazakh National University
Abai Kazakh National Pedagogical University

10 лет помогаем публиковать статьи Международный издатель

Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026