GIPERGEOMETRIK FUNKSIYALARNING BA’ZI DIFFERENSIAL TENGLAMALARNI YECHISHGA TADBIQI

Authors

  • Maftunaxon Turdaliyeva Saydolim qizi FarDU magistranti.

Abstract

Bizga ma’lumki, bir o‘zgaruvchili gipergeometrik funksiyalarni o‘rganish 200 yildan ortiq tarixga ega. Ular Eyler, Gauss, Riemann va Kummer ishlarida uchraydi. Ularning integral ko‘rinishlari Barns va Mellin, maxsus xususiyatlarini esa Shvarts va Gursalar o‘rganishgan.

References

A. Dickenstein, L. F. Matusevich, and T. Sadykov. Bivariate hypergeometric D-modules. Adv. Math., 196(1): 78–123, 2005.

M. Saito, B. Sturmfels, and N. Takayama. Gr¨obner deformations of hypergeometric differential equations, volume 6 of Algorithms and Computation in Mathematics. Springer-Verlag, Berlin, 2000.

E. Cattani, A. Dickenstein, and B. Sturmfels. Rational hypergeometric functions. Compositio Math., 128(2):217–239, 2001.

E. L. Ince. Ordinary Differential Equations. Dover Publications, New York, 1944.

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Published

2023-03-11