小q雅可比多项式


小q-雅可比多项式(Little q-Jacobi polynomials)是一个以基本超几何函数定义的正交多项式,定义如下[1].

例子

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k=3,

     

图集

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LITTLE Q-JACOBI POLYNOMIALS ABS COMPLEX 3D MAPLE PLOT
 
LITTLE Q-JACOBI POLYNOMIALS IM COMPLEX 3D MAPLE PLOT
 
LITTLE Q-JACOBI POLYNOMIALS RE COMPLEX 3D MAPLE PLOT
 
LITTLE Q-JACOBI POLYNOMIALS ABS DENSITY MAPLE PLOT
 
LITTLE Q-JACOBI POLYNOMIALS IM DENSITY MAPLE PLOT
 
LITTLE Q-JACOBI POLYNOMIALS RE DENSITY MAPLE PLOT

参考文献

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  1. ^ Koekoek, Roelof; Lesky, Peter A.; Swarttouw, René F. (2010), Hypergeometric orthogonal polynomials and their q-analogues, Springer Monographs in Mathematics, Berlin