Karlsson-Minton type hypergeometric functions on the root system C_n

2002/05/10 by Hjalmar Rosengren
Mathematics · #math.CA #msc:33D67

paper · pdf

published as J. Math. Anal. Appl. 281 (2003), 332-345 · 13 pages

arxiv created 2002/05/10 · arxiv updated 2009/11/30

Abstract

We prove a reduction formula for Karlsson-Minton type hypergeometric series on the root system C_n and derive some consequences of this identity. In particular, when combined with a similar reduction formula for A_n, it implies a C_n Watson transformation due to Milne and Lilly.

Related

• Elliptic hypergeometric series on root systems
• Expansion formulas for multiple basic hypergeometric series over root systems
• Proof of a summation formula for an A_n basic hypergeometric series conjectured by Warnaar
• Hypergeometric and basic hypergeometric series and integrals associated with root systems
• The hypergeometric function for the root system of type A with a certain degenerate parameter