阿拉-萨拉姆-迟哈剌多项式

阿拉-萨拉姆-迟哈剌多项式(Al-Salam-Chihara polynomials)是一个以基本超几何函数定义的正交多项式^[1]

AL-SALAM-CHIHARA 2D MAPLE PLOT

${\displaystyle Q_{n}(x;a,b;q)={\frac {(ab;q)_{n}}{a^{n}}}\;_{3}\phi _{2}\left({\begin{matrix}q^{-}n&ae^{i}\theta &ae^{-}i\theta \\ab&0\end{matrix}};q,q\right)}$

极限关系

阿拉-萨拉姆-迟哈剌多项式→连续q拉盖尔多项式

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

图集

AL-SALAM-CHIHARA ABS COMPLEX 3D MAPLE PLOT

AL-SALAM-CHIHARA IM COMPLEX 3D MAPLE PLOT

AL-SALAM-CHIHARA RE COMPLEX 3D MAPLE PLOT

AL-SALAM-CHIHARA ABS DENSITY MAPLE PLOT

AL-SALAM-CHIHARA IM DENSITY MAPLE PLOT

AL-SALAM-CHIHARA RE DENSITY MAPLE PLOT