Limit transition between hypergeometric functions of type BC and type A

Margit Rösler, Tom Koornwinder, Michael Voit

Let $F_{BC}(\lambda ,k;t)$ be the Heckman-Opdam hypergeometric function of type BC with multiplicities $k=(k_1,k_2,k_3)$ and weighted half sum $\rho (k)$ of positive roots. We prove that $F_{…