连续q雅可比多项式

连续q雅可比多项式定义如下

$P_{n}^{(\alpha ;\beta )}(x|q)=$ ${\frac {(q^{\alpha +1};q)_{n}}{(q;q;)_{n}}}$

$_{4}\Phi _{3}$ $(q^{-n},q^{n+\alpha +\beta +1};q^{\alpha /2+1/4}e^{i\theta };q^{\alpha /2+1/4}e^{-i\theta })$

极限关系

$\lim _{\beta \to \infty }P_{n}^{(\alpha ;\beta )}(x|q)=P_{n}^{(\alpha )}(x|q)$

$\lim _{q\to 1}P_{n}^{(\alpha ;\beta )}(x|q)=P_{n}^{(\alpha ;\beta )}(x|q)$

CONTINUOUS Q-JACOBI ABS COMPLEX 3D MAPLE PLOT

CONTINUOUS Q-JACOBI IM COMPLEX 3D MAPLE PLOT

CONTINUOUS Q-JACOBI RE COMPLEX 3D MAPLE PLOT

CONTINUOUS Q-JACOBI ABS DENSITY MAPLE PLOT

CONTINUOUS Q-JACOBI IM DENSITY MAPLE PLOT

CONTINUOUS Q-JACOBI RE DENSITY MAPLE PLOT

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