Hjalmar Rosengren
Published 2002-05-10Version 1
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.
Comments: 13 pages
Journal: J. Math. Anal. Appl. 281 (2003), 332-345
Reduction formulae for Karlsson-Minton type hypergeometric functions
A nonterminating 8-phi-7 summation for the root system C_r
Sharp estimates for the hypergeometric functions related to root systems of type $A$ and of rank 1
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