Some cubic birth and death processes and their related orthogonal polynomials

Jacek Gilewicz, Elie Leopold, Andreas Ruffing +1

The orthogonal polynomials with recurrence relation \[(\la\_n+μ\_n-z) F\_n(z)=μ\_{n+1} F\_{n+1}(z)+\la\_{n-1} F\_{n-1}(z)\] with two kinds of cubic transition rates $\la\_n$ and $μ…