GIPERGEOMETRIK FUNKSIYALARNING BA’ZI DIFFERENSIAL TENGLAMALARNI YECHISHGA TADBIQI
Аннотация
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.
Библиографические ссылки
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.
