連續大Q埃爾米特多項式

連續大Q埃爾米特多項式是以基本超幾何函數定義的正交多項式^[1]

${\displaystyle H_{n}(x;a;q)=a^{-n}\;_{2}\phi _{1}\left({\begin{matrix}q^{-n}&ae^{I\theta }&ae^{-I\theta }\\0&0\end{matrix}};q,q\right)}$

${\displaystyle x=cos(\theta )}$

極限關係

令阿拉-薩拉姆-遲哈剌多項式 b=0,即得[[連續大Q埃爾米特多項式}}

令連續大Q埃爾米特多項式 a=0,即得連續埃爾米特多項式

圖集

CONTINUOUS BIG Q-HERMITE POLYNOMIALS ABS COMPLEX 3D MAPLE PLOT

CONTINUOUS BIG Q-HERMITE POLYNOMIALS IM COMPLEX 3D MAPLE PLOT

CONTINUOUS BIG Q-HERMITE POLYNOMIALS RE COMPLEX 3D MAPLE PLOT

CONTINUOUS BIG Q-HERMITE POLYNOMIALS ABS DENSITY MAPLE PLOT

CONTINUOUS BIG Q-HERMITE POLYNOMIALS IM DENSITY MAPLE PLOT

CONTINUOUS BIG Q-HERMITE POLYNOMIALS RE DENSITY MAPLE PLOT