Humbert polynomials
From specialfunctionswiki
The Humbert polynomials $\pi_{n,m}^{\lambda}(x)$ are defined by $$\dfrac{1}{(1-mxt+t^m)^{\lambda}}=\displaystyle\sum_{k=0}^{\infty} \pi_{k,m}^{\lambda}(x)t^k.$$
The Humbert polynomials $\pi_{n,m}^{\lambda}(x)$ are defined by $$\dfrac{1}{(1-mxt+t^m)^{\lambda}}=\displaystyle\sum_{k=0}^{\infty} \pi_{k,m}^{\lambda}(x)t^k.$$