连续大Q埃尔米特多项式

连续大Q埃尔米特多项式是以基本超几何函数定义的正交多项式[1]


极限关系

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}}


连续大Q埃尔米特多项式 a=0,即得连续埃尔米特多项式

图集

 
CONTINUOUS BIG Q-HERMITE POLYNOMIALS ABS COMPLEX 3D MAPLE PLOT
 
CONTINUOUS BIG Q-HERMITE POLYNOMIALS IM COMPLEX 3D MAPLE PLOT
 
CONTINUOUS BIG Q-HERMITE POLYNOMIALS RE COMPLEX 3D MAPLE PLOT
 
CONTINUOUS BIG Q-HERMITE POLYNOMIALS ABS DENSITY MAPLE PLOT
 
CONTINUOUS BIG Q-HERMITE POLYNOMIALS IM DENSITY MAPLE PLOT
 
CONTINUOUS BIG Q-HERMITE POLYNOMIALS RE DENSITY MAPLE PLOT

参考文献

  1. ^ Roelof Koekoek, Hypergeometric Orthogonal Polynomials and its q-Analogues, p509,Springer,2010