Karlsson-Minton type hypergeometric functions on the root system C_n

Mathematics – Classical Analysis and ODEs

Scientific paper

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13 pages

Scientific paper

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.

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