Difference between revisions of "Rodrigues formula for Meixner polynomial"

Theorem: (Rodrigues Formula) The following formula holds: $$\dfrac{\beta^{\overline{x}}c^x}{x!} M_n(x;\beta,c)= \nabla^n \left[ \dfrac{(\beta+n)^{\overline{x}}}{x!}c^x \right],$$ where $\beta^{\overline{x}}$ denotes a rising factorial and $M_n$ is a Meixner polynomial.