双重哈恩多项式(Dual Hahn polynomials)是一个正交多项式,定义如下[1]
Dual Hahn polynomials plot
Dual Hahn polynomials plot
- 其中0≤n≤N
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
- ^ Koekoek, Roelof; Lesky, Peter A.; Swarttouw, René F. (2010), Hypergeometric orthogonal polynomials and their q-analogues, Springer Monographs in Mathematics, Berlin, New York
- ^ KoeKoef p209