离散q-埃尔米特I多项式

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离散q-埃尔米特多项式是以超几何函数定义的正交多项式[1]

hn(x;q)=q(n2)2ϕ1(qn,x1;0;q,qx)=xn2ϕ0(qn,qn+1;;q2,q2n1/x2)=Un(1)(x;q)

图集

DISCRETE Q-HERMITE I ABS COMPLEX 3D MAPLE PLOT
DISCRETE Q-HERMITE I IM COMPLEX 3D MAPLE PLOT
DISCRETE Q-HERMITE I RE COMPLEX 3D MAPLE PLOT
DISCRETE Q-HERMITE I ABS DENSITY MAPLE PLOT
DISCRETE Q-HERMITE I IM DENSITY MAPLE PLOT
DISCRETE Q-HERMITE I RE DENSITY MAPLE PLOT

参考文献

  1. Roelof Koekoek, p547-549,Springer 2010

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