COMPLEX FUNCTIONS AND THEIR CONFORMAL DESCRIPTION IN PHYSICS

Article Sidebar

PDF (Uzbek (latin))
Issue: Vol. 5 No. 4 : Евразийский журнал математической теории и компьютерных наук
Section: Articles
Published:

Main Article Content

Zooinjeneriya fakulteti, Axborot texnologiyalari, matematika, fizika va kimyo kafedrasi stajyor-o’qituvchisi, Qoraqalpog’iston qishloq xo’jaligi va agrotexnologiyalar instituti
info@in-academy.uz

Abstract:

This article analyzes the theory of complex functions and their role in conformal mapping processes in physics. The fundamental properties of conformal mappings are discussed, highlighting the ability to transform complex-shaped physical domains into simpler geometric forms. The Joukowski transformation is analyzed based on graphical representation, emphasizing its practical significance in fields such as aerodynamics and electrostatics. Through table and graphical analyses, the importance of conformal mappings in modeling physical processes is revealed.

Keywords:

Article Details

How to Cite:

Xudaybergenova , G. (2025). COMPLEX FUNCTIONS AND THEIR CONFORMAL DESCRIPTION IN PHYSICS. Eurasian Journal of Mathematical Theory and Computer Sciences, 5(4), 11–14. Retrieved from https://in-academy.uz/index.php/EJMTCS/article/view/50358

References:

Bourget, A., & Troost, J. (2018). The conformal characters. Journal of High Energy Physics, 2018(4), 1-40.

Gillioz, M. (2023). Conformal field theory for particle physicists. Springer Briefs in Physics. Springer.

Hitotumatu, S. (1959). On quasi-conformal functions of several complex variables. Journal of Mathematics and Mechanics, 77-94.

Olver, P. J. (2017). Complex analysis and conformal mapping. University of Minnesota, 806.

Solodukhin, S. N. (1999). Conformal description of horizon's states. Physics Letters B, 454(3-4), 213-222.