Hypergeometric Polynomials and Integer Programming

[1]  Toshinori Oaku,et al.  An algorithm of computing $b$-functions , 1997 .

[2]  David A. Cox,et al.  Ideals, Varieties, and Algorithms , 1997 .

[3]  S. Yau,et al.  Maximal degeneracy points of GKZ systems , 1996 .

[4]  俊則 大阿久,et al.  An algorithm of computing $b$-functions , 1996 .

[5]  B. Sturmfels.  Gröbner bases and convex polytopes , 1995 .

[6]  Nobuki Takayama,et al.  An Algorithm for Finding Recurrence Ralations of Binomial Sums and its Complexity , 1995, J. Symb. Comput..

[7]  Rekha R. Thomas.  A Geometric Buchberger Algorithm for Integer Programming , 1995, Math. Oper. Res..

[8]  Algorithmic methods for Fuchsian systems of linear partial differential equations , 1995 .

[9]  M. Saito,et al.  RESTRICTIONS OF $\mathscr A$-HYPERGEOMETRIC SYSTEMS AND CONNECTION FORMULAS OF THE ∆1×∆n−1- HYPERGEOMETRIC FUNCTION , 1994 .

[10]  I. M. Gelʹfand,et al.  Discriminants, Resultants, and Multidimensional Determinants , 1994 .

[11]  M. Saito.  PARAMETER SHIFT IN NORMAL GENERALIZED HYPERGEOMETRIC SYSTEMS , 1992 .

[12]  Masayuki Noro,et al.  Risa/Asir—a computer algebra system , 1992, ISSAC '92.

[13]  Carlo Traverso,et al.  Buchberger Algorithm and Integer Programming , 1991, AAECC.

[14]  Takeshi Sasaki.  Contiguity relations of Aomoto-Gel'fand hypergeometric functions and applications to Appell's system f 3 and Goursta's systems 3 F 2 , 1991 .

[15]  I. Gel'fand,et al.  Hypergeometric functions and toral manifolds , 1989 .

[16]  Nobuki Takayama,et al.  Gröbner basis and the problem of contiguous relations , 1989 .

[17]  Armand Borel,et al.  Algebraic D-modules , 1987 .

[18]  Masaki Kashiwara,et al.  Vanishing cycle sheaves and holonomic systems of differential equations , 1983 .

[19]  Charles E. Blair,et al.  The value function of an integer program , 1982, Math. Program..

[20]  M. Kashiwara,et al.  Second-microlocalization and asymptotic expansions , 1980 .

[21]  Jan-Erik Björk,et al.  Rings of differential operators , 1979 .

[22]  Masaki Kashiwara,et al.  On the holonomic systems of linear differential equations, II , 1978 .

[23]  W. C. Mcginnis.  Ideals , 1925, Free Speech.