小q勒让德多项式

小q勒让德多项式(Little q-Legender polynomials)是一个以基本超几何函数定义的正交多项式

$P_n(x|q)={}_2{\varphi }_1(\begin{array}{cc}{q}^{-n}& q^{n+1}\\ q\end{array};q,qx)$

极限关系

小q勒让德多项式→勒让德多项式

$\underset{q\to 1}{\lim }{p}_n(x|q)=P_n(1-2x)$

图集

LITTLE Q-LEGENDRE POLYNOMIALS ABS COMPLEX 3D MAPLE PLOT

LITTLE Q-LEGENDRE POLYNOMIALS IM COMPLEX 3D MAPLE PLOT

LITTLE Q-LEGENDRE POLYNOMIALS RE COMPLEX 3D MAPLE PLOT

LITTLE Q-LEGENDRE POLYNOMIALS ABS DENSITY MAPLE PLOT

LITTLE Q-LEGENDRE POLYNOMIALS IM DENSITY MAPLE PLOT

LITTLE Q-LEGENDRE POLYNOMIALS RE DENSITY MAPLE PLOT