Ilim ha’m ja’miyet Issue 4-1 (2026) · pp. 16-18

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

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Abstract

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.

konform akslantirishShvars-Kristoffel integraliyuqori yarim tekislikbirlik doirakompleks oʻzgaruvchili funksiyalarконформное отображениеинтеграл Шварца-Кристоффеляверхняя полуплоскостьединичный кругфункции комплексной переменной

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Cite

APA 7 
Bekmetova, 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.
GOST R 7.0.5 
Bekmetova, Sadoqat Atabayevna, Yuldashev, Begzod Egamberganovich, Бекметова, Садокат Атабаевна, Юлдашев, Бегзод Эгамберганович, Bekmetova, Sadoqat Atabayevna, Yuldashev, Begzod Egambergan oʻgʻli SCHWARZ–CHRISTOFFEL FORMULA AND ITS APPLICATIONS IN CONFORMAL MAPPING OF DOMAINS // Ilim ha’m ja’miyet. 2026. № 4-1. С. 16-18.
BibTeX 
@article{atabayevna2026,
  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},
  title   = {SCHWARZ–CHRISTOFFEL FORMULA AND ITS APPLICATIONS IN CONFORMAL MAPPING OF DOMAINS},
  journal = {Ilim ha’m ja’miyet},
  year    = {2026},
  number  = {4-1},
  pages   = {16-18}
}
RIS 
TY  - JOUR
AU  - Bekmetova, Sadoqat Atabayevna
AU  - Yuldashev, Begzod Egamberganovich
AU  - Бекметова, Садокат Атабаевна
AU  - Юлдашев, Бегзод Эгамберганович
AU  - Bekmetova, Sadoqat Atabayevna
AU  - Yuldashev, Begzod Egambergan oʻgʻli
TI  - SCHWARZ–CHRISTOFFEL FORMULA AND ITS APPLICATIONS IN CONFORMAL MAPPING OF DOMAINS
JO  - Ilim ha’m ja’miyet
PY  - 2026
IS  - 4-1
SP  - 16
EP  - 18
ER  -