查看“︁连续双哈恩多项式”︁的源代码


[[File:Continuous dual Hahn 1.gif|thumb|300px|连续双哈恩多项式]]
[[File:Complex plot of Continuous Duall Hahn Polynomials.gif|300px|thumb|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<ref>Koekoek, Roelof; Lesky, Peter A.; Swarttouw, René F. (2010), Hypergeometric orthogonal polynomials and their q-analogues, Springer Monographs in Mathematics, Berlin, New York: Springer-Verlag, doi:10.1007/978-3-642-05014-5, ISBN 978-3-642-05013-8, MR 2656096</ref>

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

<math>\begin{align}
  R1 & = (a+2.3)*(a+3.5)*hypergeom([-1, a+I*x, a-I*x], [a+2.3, a+3.5], 1) \\
  R2 & = pochhammer(a+2.3, 2)*pochhammer(a+3.5, 2)*hypergeom([-2, a+I*x, a-I*x], [a+2.3, a+3.5], 1)
\\
  R3 & = pochhammer(a+2.3, 3)*pochhammer(a+3.5, 3)*hypergeom([-3, a+I*x, a-I*x], [a+2.3, a+3.5], 1).
   
\end{align}</math>

==参考文献==
<references/>

[[Category:特殊超几何函数]]
[[Category:正交多项式]]
{{q超几何函数}}