General hypergeometric systems of equations and series of hypergeometric type

Abstract

Contents Introduction Chapter I. General definitions and results § 1. Horn hypergeometric series § 2. General hypergeometric series § 3. Hypergeometric systems of equations § 4. Generalized hypergeometric functions § 5. General g-hypergeometric series § 6. -hypergeometric systems and series Chapter II. Hypergeometric functions connected with the Grassmannian § 7. Radon transformation connected with -dimensional subspaces of , and hypergeometric functions § 8. Hypergeometric systems of equations, and series of hypergeometric type connected with the complex Grassmannian § 9. Reduction formulae and Grassmanians §10. Realization of general hypergeometric functions connected with the Grassmannian on the Plücker manifold §11. Confluent hypergeometric systems Supplement 1. Computation of the dimension of the space of general hypergeometric functions connected with the Grassmannian Supplement 2. General hypergeometric systems and series of hypergeometric type on the space References