连续大Q埃尔米特多项式

连续大Q埃尔米特多项式是以基本超几何函数定义的正交多项式

$H_n(x;a;q)=a^{-n}{}_2{\varphi }_1(\begin{array}{ccc}{q}^{-n}& a{e}^{I\theta }& a{e}^{-I\theta }\\ 0& 0\end{array};q,q)$

$x=cos(\theta )$

极限关系

令阿拉-萨拉姆-迟哈剌多项式 b=0,即得[[连续大Q埃尔米特多项式}}

令连续大Q埃尔米特多项式 a=0,即得连续埃尔米特多项式

图集

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

参考文献

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