连续双哈恩多项式

连续双哈恩多项式

连续双哈恩多项式 复数图

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

$S_n(x^2;a,b,c)={}_3{F}_2(-n,a+ix,a-ix;a+b,a+c;1).$

$\begin{array}{cc}R1& =(a+2.3)\ast (a+3.5)\ast hypergeom([-1,a+I\ast x,a-I\ast x],[a+2.3,a+3.5],1)\\ R2& =pochhammer(a+2.3,2)\ast pochhammer(a+3.5,2)\ast hypergeom([-2,a+I\ast x,a-I\ast x],[a+2.3,a+3.5],1)\\ R3& =pochhammer(a+2.3,3)\ast pochhammer(a+3.5,3)\ast hypergeom([-3,a+I\ast x,a-I\ast x],[a+2.3,a+3.5],1).\end{array}$