离散q-埃尔米特I多项式

离散q-埃尔米特多项式是以超几何函数定义的正交多项式^[1]

${\displaystyle \displaystyle h_{n}(x;q)=q^{\binom {n}{2}}{}_{2}\phi _{1}(q^{-n},x^{-1};0;q,-qx)=x^{n}{}_{2}\phi _{0}(q^{-n},q^{-n+1};;q^{2},q^{2n-1}/x^{2})=U_{n}^{(-1)}(x;q)}$

1. ^ Roelof Koekoek, p547-549,Springer 2010

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