Eurasian Journal of Mathematical Theory and Computer Sciences 5-jild 1-son (2025) · 7–13-betlar

LEE-YANG TEOREMASINI N=2 HOLAT UCHUN ISBOTLASH

G’anixo’jayev, Nosir, Tursunqulov, Abduazim

DOI: 10.5281/zenodo.14620651 · Manbada o'qish → · PDF (manba serverida)

Annotatsiya

There are many interrelated theories in mathematical physics and complex analysis, among which the Lee-Yang theorem has a special place. This theorem plays an important role in statistical physics and the theory of phase transitions. By analyzing the roots of polynomials in the complex plane, it allows to study the behavior of physical systems. Also, this theorem is considered as a theoretical basis of thermodynamic limit and state transitions in physics. The main importance of the Lee-Yang theorem is that it geometrically limits the roots of polynomials of complex variables and helps to determine the properties of statistical systems. The main goal of this study is to provide a detailed mathematical proof of the Lee-Yang theorem for the cases n=2 and n=3 and to study its significance in relation to statistical physics.

Lee-Young theorem, polynomial, polynomial roots, set, symmetric matrix, polynomial coefficients.Lee – Yang teoremsi, polinom , polinom ildizlari, to’plam, simetrik matritsa, polinom coffitsientlari.

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