阿拉-萨拉姆-迟哈剌多项式

AL-SALAM-CHIHARA 2D MAPLE PLOT

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

$Q_n(x;a,b;q)=\frac{(ab;q{)}_n}{a^n}{}_3{\varphi }_2(\begin{array}{ccc}{q}^{-}n& a{e}^i\theta & a{e}^{-}i\theta \\ ab& 0\end{array};q,q)$

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

参考文献

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