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 |
| Nashriyot | Нукус давлат педагогика институти |
| ISSN | 2010-720x, 2181-1555 |
| Nashr sanasi | 2026-03-31 |
| Son | 2-1 |
| Betlar | 11-14 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| Indeksga qo‘shilgan | 2026-08-26 |
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
| APA | Xalknazarov, Askar Maxsetbaevich, Orazbekova, Dilbar Kosjanovna, Халкназаров, Аскар Махсетбаевич, Оразбекова, Дилбар Косжановна, Xalknazarov, Asqar Maxsetbaevich, & Orazbekova, Dilbar Qosjan qızı (2026). HARMONIC FUNCTIONS IN MATRIX SPACES. Ilim ha’m ja’miyet, (2-1), 11-14. https://journal.ndpi.uz/index/article/view/2026-2-1-003 |
|---|---|
| GOST (OAK) | Xalknazarov, Askar Maxsetbaevich va b. HARMONIC FUNCTIONS IN MATRIX SPACES // Ilim ha’m ja’miyet. – 2026. – № 2-1. – P. 11-14. |
| MLA | Xalknazarov, Askar Maxsetbaevich, Orazbekova, Dilbar Kosjanovna, Халкназаров, Аскар Махсетбаевич, Оразбекова, Дилбар Косжановна, Xalknazarov, Asqar Maxsetbaevich, and Orazbekova, Dilbar Qosjan qızı. “HARMONIC FUNCTIONS IN MATRIX SPACES.” Ilim ha’m ja’miyet, (2-1), 11-14, 2026. https://journal.ndpi.uz/index/article/view/2026-2-1-003 |
| Chicago | Xalknazarov, Askar Maxsetbaevich, Orazbekova, Dilbar Kosjanovna, Халкназаров, Аскар Махсетбаевич, Оразбекова, Дилбар Косжановна, Xalknazarov, Asqar Maxsetbaevich, and Orazbekova, Dilbar Qosjan qızı. “HARMONIC FUNCTIONS IN MATRIX SPACES.” Ilim ha’m ja’miyet, (2-1), 11-14 (2026). https://journal.ndpi.uz/index/article/view/2026-2-1-003 |
| Harvard | Xalknazarov, Askar Maxsetbaevich, Orazbekova, Dilbar Kosjanovna, Халкназаров, Аскар Махсетбаевич, Оразбекова, Дилбар Косжановна, Xalknazarov, Asqar Maxsetbaevich, and Orazbekova, Dilbar Qosjan qızı (2026) ‘HARMONIC FUNCTIONS IN MATRIX SPACES’, Ilim ha’m ja’miyet, (2-1), 11-14. https://journal.ndpi.uz/index/article/view/2026-2-1-003 |
| BibTeX | @article{xalknazarovaskarmaxsetbaevich2026,
title = {HARMONIC FUNCTIONS IN MATRIX SPACES},
author = {Xalknazarov, Askar Maxsetbaevich and Orazbekova, Dilbar Kosjanovna and Халкназаров, Аскар Махсетбаевич and Оразбекова, Дилбар Косжановна and Xalknazarov, Asqar Maxsetbaevich and Orazbekova, Dilbar Qosjan qızı},
journal = {Ilim ha’m ja’miyet},
year = {2026},
number = {2-1},
pages = {11-14},
url = {https://journal.ndpi.uz/index/article/view/2026-2-1-003}
} |
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