查看“︁连续哈恩多项式”︁的源代码

[[File:Continuous Hahn Polynomials 1.gif|thumb|Continuous  Hahn Polynomials]]
[[File:Continuous Hahn Polynomials 2.gif|thumb|Continuous  Hahn Polynomials]]

'''连续哈恩多项式'''由下列[[超几何函数]]定义：

:<math>p_n(x;a,b,c,d)= i^n\frac{(a+c)_n(a+d)_n}{n!}{}_3F_2(-n,n+a+b+c+d-1,a+ix;a+c,a+d;1) </math>



==参考文献==
*{{Citation | last1=Hahn | first1=Wolfgang | title=Über Orthogonalpolynome, die q-Differenzengleichungen genügen | doi=10.1002/mana.19490020103 | mr=0030647 | year=1949 | journal=Mathematische Nachrichten | issn=0025-584X | volume=2 | pages=4–34}}
*{{Citation | last1=Koekoek | first1=Roelof | last2=Lesky | first2=Peter A. | last3=Swarttouw | first3=René F. | title=Hypergeometric orthogonal polynomials and their q-analogues | publisher=[[Springer-Verlag]] | location=Berlin, New York | series=Springer Monographs in Mathematics | isbn=978-3-642-05013-8 | doi=10.1007/978-3-642-05014-5 | mr=2656096 | year=2010}}
*{{dlmf|id=18.19|title=Hahn Class: Definitions|first=Tom H. |last=Koornwinder|first2=Roderick S. C.|last2= Wong|first3=Roelof |last3=Koekoek||first4=René F. |last4=Swarttouw}}

[[Category:超幾何函數]]
{{q超几何函数}}