连续双哈恩多项式

连续双哈恩多项式(Continuous dual Hahn polynomials)是一个正交多项式,由下列广义超几何函数定义

:S_n(x^2;a,b,c)= {}_3F_2(-n,a+ix,a-ix;a+b,a+c;1).\

\begin{align}
R1 & = (a+2.3)(a+3.5)hypergeom([-1, a+Ix, a-Ix], [a+2.3, a+3.5], 1) \\
R2 & = pochhammer(a+2.3, 2)pochhammer(a+3.5, 2)hypergeom([-2, a+Ix, a-Ix], [a+2.3, a+3.5], 1)
\\
R3 & = pochhammer(a+2.3, 3)pochhammer(a+3.5, 3)hypergeom([-3, a+Ix, a-Ix], [a+2.3, a+3.5], 1).

\end{align}

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