双哈恩多项式

Dual Hahn polynomials plot
Dual Hahn polynomials plot

双重哈恩多项式(Dual Hahn polynomials)是一个正交多项式,定义如下[1]

其中0≤ nN

双重哈恩多项式的前几个:

正交性

双重哈恩多项式满足下列正交关系:[2]

*


极限关系

拉卡多项式双重哈恩多项式

双重哈恩多项式梅西纳多项式

参考文献

  1. ^ Koekoek, Roelof; Lesky, Peter A.; Swarttouw, René F. (2010), Hypergeometric orthogonal polynomials and their q-analogues, Springer Monographs in Mathematics, Berlin, New York
  2. ^ KoeKoef p209

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