阿拉-薩拉姆-遲哈剌多項式

阿拉-薩拉姆-遲哈剌多項式(Al-Salam-Chihara polynomials)是一個以基本超幾何函數定義的正交多項式^[1]

AL-SALAM-CHIHARA 2D MAPLE PLOT

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

極限關係

阿拉-薩拉姆-遲哈剌多項式→連續q拉蓋爾多項式

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

圖集

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