GKZ hypergeometric functions

introduction

• To a torus action on a complex vector space, Gelfand, Kapranov and Zelevinsky introduce a system of differential equations, called the GKZ hypergeometric system.

expositions

• EDUARDO CATTANI, Three Lectures on Hypergeometric Functions
• Stienstra, Jan. 2005. “GKZ Hypergeometric Structures.” arXiv:math/0511351 (November 14). http://arxiv.org/abs/math/0511351.

articles

• Lei Fu, $\ell$-adic GKZ hypergeometric sheaf and exponential sums, arXiv:1208.1373 [math.AG], August 07 2012, http://arxiv.org/abs/1208.1373
• Artamonov, D. V. ‘The Stokes Phenomenon for an Irregular Gelfand-Kapranov-Zelevinsky System Associated with the Rank One Lattice’. arXiv:1503.06345 [math], 21 March 2015. http://arxiv.org/abs/1503.06345.