Some freezing limits for Bessel functions and Bessel processes with drift of type $B_N$

Jan Richter, Michael Voit

We use the series representation of the Bessel functions of type $B_N$ in terms of Jack polynomials and show that $$\lim_{k_1\to\infty} J_{(k_1,k_2)}^B(x,k_1y)^{1/k_1}= 2^N\prod\li…