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罗杰斯多项式又称连续q超球面多项式是一个以超几何函数定义的超几何正交多项式[1]

其中 x = cos(θ).即

极限关系编辑

Q梅西纳-帕拉泽克多项式连续q超球面多项式

 

图集编辑

 
ROGERS POLYNOMIALS ABS COMPLEX3D MAPLE PLOT
 
ROGERS POLYNOMIALS IM COMPLEX3D MAPLE PLOT
 
ROGERS POLYNOMIALS RE COMPLEX3D MAPLE PLOT
 
ROGERS POLYNOMIALS ABS DENSITY MAPLE PLOT
 
ROGERS POLYNOMIALS IM DENSITY MAPLE PLOT
 
ROGERS POLYNOMIALS RE DENSITY MAPLE PLOT


参考文献编辑

参考文献编辑

  1. ^ Roelof Koekoek, Hypergeometric Orthogonal Polynomials and its q-Analogues,p469,Springer 2010