ALGEBRAVIK TENGLAMALARNI ECHISHDA GIPERGEOMETRIK QATORLARNI QO’LLANILISHI
Abstract
Kompleks tekislikda quyidagi chiziqli n-tartibli oddiy differensial tenglamani ko‘rib chiqamiz:
(1)
bu yerda ochiq to‘plamda golomorf funksiyalar. Quyidagi teorema o’rinli:
References
. A. Adolphson. Hypergeometric functions and rings generated by monomials. Duke Math. J., 73(2):269–290, 1994.
B. Sturmfels. Solving algebraic equations in terms of A-hypergeometric series. Discrete Math., 210(1-3):171– 181, 2000. Formal power series and algebraic combinatorics (Minneapolis, MN, 1996).
D. Eisenbud, D. R. Grayson, M. Stillman, and B. Sturmfels, editors. Computations in algebraic geometry with Macaulay 2, volume 8 of Algorithms and Computation in Mathematics. Springer-Verlag, Berlin, 2002.
E. A. Coddington and N. Levinson. Theory of ordinary differential equations. McGraw-Hill Book Company, Inc., New York-Toronto-London, 1955.
E. L. Ince. Ordinary Differential Equations. Dover Publications, New York, 1944.