This paper investigates differential operators within the framework of matrix analysis. The definition of differential operators for matrix-valued functions, their matrix representation, and their invariant properties under linear fractional transformations are studied. Particular attention is paid to the generalized Laplace operator on matrix domains and its significance in the theory of harmonic functions.
| Mualliflar | Xalknazarov, Askar Maxsetbaevich, Orazbekova, Dilbar Kosjanovna, Халкназаров, Аскар Махсетбаевич, Оразбекова, Дилбар Косжановна, Xalknazarov, Asqar Maxsetbaevich, Orazbekova, Dilbar Qosjan qızı |
|---|---|
| Jurnal | Ilim ha’m ja’miyet |
| Nashr sanasi | 2026-03-31 |
| Son | 2-1 |
| Betlar | 11-14 |
| Til | uz_Latn |
matritsaviy analiz, differensial operator, Laplas operatori, invariantlik, matritsaviy soha, garmonik funksiya, матричный анализ, дифференциальный оператор, оператор Лапласа, инвариантность, матричная область, гармоническая функция, matrix analysis, differential operator, Laplace operator, invariance, matrix domain, harmonic function
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