Schwarz–christoffel formula and its applications in conformal mapping of domains

Bekmetova, Sadoqat Atabayevna, Yuldashev, Begzod Egamberganovich, Бекметова, Садокат Атабаевна, Юлдашев, Бегзод Эгамберганович, Bekmetova, Sadoqat Atabayevna, Yuldashev, Begzod Egambergan oʻgʻli

Ilim ha’m ja’miyet · 2026-yil

Annotatsiya

The theory of conformal mapping is one of the most practical branches of complex analysis and serves as the main tool for solving problems in hydrodynamics, electrostatics, and heat transfer. In complex problems where domain boundaries consist of broken lines (polygons), the Schwarz-Christoffel formula serves as a universal solution. This paper analyzes the theoretical and methodological foundations of the Schwarz-Christoffel formula, as well as problems of mapping the upper half-plane onto the interior of polygons.

Maqola ma’lumotlari
MualliflarBekmetova, Sadoqat Atabayevna, Yuldashev, Begzod Egamberganovich, Бекметова, Садокат Атабаевна, Юлдашев, Бегзод Эгамберганович, Bekmetova, Sadoqat Atabayevna, Yuldashev, Begzod Egambergan oʻgʻli
JurnalIlim ha’m ja’miyet
NashriyotНукус давлат педагогика институти
ISSN2010-720x, 2181-1555
Nashr sanasi2026-06-30
Son4-1
Betlar16-18
TilIngliz
Indeksga qo‘shilgan2026-08-26

Kalit so‘zlar

konform akslantirish, Shvars-Kristoffel integrali, yuqori yarim tekislik, birlik doira, kompleks oʻzgaruvchili funksiyalar, конформное отображение, интеграл Шварца-Кристоффеля, верхняя полуплоскость, единичный круг, функции комплексной переменной, conformal mapping, Schwarz-Christoffel integral, upper half-plane, unit disk, functions of a complex variable

Iqtibos keltirish

APABekmetova, Sadoqat Atabayevna, Yuldashev, Begzod Egamberganovich, Бекметова, Садокат Атабаевна, Юлдашев, Бегзод Эгамберганович, Bekmetova, Sadoqat Atabayevna, & Yuldashev, Begzod Egambergan oʻgʻli (2026). SCHWARZ–CHRISTOFFEL FORMULA AND ITS APPLICATIONS IN CONFORMAL MAPPING OF DOMAINS. Ilim ha’m ja’miyet, (4-1), 16-18. https://journal.ndpi.uz/index/article/view/2026-4-1-004
GOST (OAK)Bekmetova, Sadoqat Atabayevna va b. SCHWARZ–CHRISTOFFEL FORMULA AND ITS APPLICATIONS IN CONFORMAL MAPPING OF DOMAINS // Ilim ha’m ja’miyet. – 2026. – № 4-1. – P. 16-18.
MLABekmetova, Sadoqat Atabayevna, Yuldashev, Begzod Egamberganovich, Бекметова, Садокат Атабаевна, Юлдашев, Бегзод Эгамберганович, Bekmetova, Sadoqat Atabayevna, and Yuldashev, Begzod Egambergan oʻgʻli. “SCHWARZ–CHRISTOFFEL FORMULA AND ITS APPLICATIONS IN CONFORMAL MAPPING OF DOMAINS.” Ilim ha’m ja’miyet, (4-1), 16-18, 2026. https://journal.ndpi.uz/index/article/view/2026-4-1-004
ChicagoBekmetova, Sadoqat Atabayevna, Yuldashev, Begzod Egamberganovich, Бекметова, Садокат Атабаевна, Юлдашев, Бегзод Эгамберганович, Bekmetova, Sadoqat Atabayevna, and Yuldashev, Begzod Egambergan oʻgʻli. “SCHWARZ–CHRISTOFFEL FORMULA AND ITS APPLICATIONS IN CONFORMAL MAPPING OF DOMAINS.” Ilim ha’m ja’miyet, (4-1), 16-18 (2026). https://journal.ndpi.uz/index/article/view/2026-4-1-004
HarvardBekmetova, Sadoqat Atabayevna, Yuldashev, Begzod Egamberganovich, Бекметова, Садокат Атабаевна, Юлдашев, Бегзод Эгамберганович, Bekmetova, Sadoqat Atabayevna, and Yuldashev, Begzod Egambergan oʻgʻli (2026) ‘SCHWARZ–CHRISTOFFEL FORMULA AND ITS APPLICATIONS IN CONFORMAL MAPPING OF DOMAINS’, Ilim ha’m ja’miyet, (4-1), 16-18. https://journal.ndpi.uz/index/article/view/2026-4-1-004
BibTeX
@article{bekmetovasadoqatatabayevna2026,
  title = {SCHWARZ–CHRISTOFFEL FORMULA AND ITS APPLICATIONS IN CONFORMAL MAPPING OF DOMAINS},
  author = {Bekmetova, Sadoqat Atabayevna and Yuldashev, Begzod Egamberganovich and Бекметова, Садокат Атабаевна and Юлдашев, Бегзод Эгамберганович and Bekmetova, Sadoqat Atabayevna and Yuldashev, Begzod Egambergan oʻgʻli},
  journal = {Ilim ha’m ja’miyet},
  year = {2026},
  number = {4-1},
  pages = {16-18},
  url = {https://journal.ndpi.uz/index/article/view/2026-4-1-004}
}

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