查看“︁Q拉卡多项式”︁的源代码

'''Q拉卡多项式'''是以[[基本超几何函数]]定义的多项式：

:<math>p_n(q^{-x}+q^{x+1}cd;a,b,c,d;q) = {}_4\phi_3\left[\begin{matrix} q^{-n} &abq^{n+1}&q^{-x}&q^{x+1}cd\\
aq&bdq&cq\\ \end{matrix};q;q\right]</math>

==极限关系==
;'''Q拉卡多项式'''→[[双q哈恩多项式]]；
在Q拉卡多项式中令<math>\beta =0</math>以及<math>\alpha{q}=q^{-N}</math>,即得双q哈恩多项式：

<math>R_{n}(\mu(x);q^{-N-1},0,\gamma,\delta|q)=R_{n}(\mu(x);\gamma,\delta,N|q)</math>

令'''Q拉卡多项式'''中<math>a=b</math>,<math>cq=q^{-N}</math> 即得[[双Q克拉夫楚克多项式]]

==图集==
{|
|[[File:Q-Racah function abs complex 3D PLOT.gif|thumb|Q-Racah function abs complex 3D PLOT]]
|[[File:Q-Racah function Im complex 3D PLOT.gif|thumb|Q-Racah function Im complex 3D PLOT]]
|[[File:Q-Racah function re complex 3D PLOT.gif|thumb|Q-Racah function re density PLOT]]
|}
{|
|[[File:Q-Racah function abs density PLOT.gif|thumb|Q-Racah function abs density PLOT]]
|[[File:Q-Racah function Im density PLOT.gif|thumb|Q-Racah function Im density PLOT]]
|[[File:Q-Racah function re density PLOT.gif|thumb|Q-Racah function re density PLOT]]
|}

==参考文献==
*{{Citation | last1=Askey | first1=Richard | last2=Wilson | first2=James | title=A set of orthogonal polynomials that generalize the Racah coefficients or 6-j symbols | doi=10.1137/0510092 | mr=541097 | year=1979 | journal=SIAM Journal on Mathematical Analysis | issn=0036-1410 | volume=10 | issue=5 | pages=1008–1016}}
*{{Citation | last1=Gasper | first1=George | last2=Rahman | first2=Mizan | title=Basic hypergeometric series | publisher=[[Cambridge University Press]] | edition=2nd | series=Encyclopedia of Mathematics and its Applications | isbn=978-0-521-83357-8 | doi=10.2277/0521833574 | mr=2128719 | year=2004 | volume=96}}
*{{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|title=|first=Tom H. |last=Koornwinder|first2=Roderick S. C.|last2= Wong|first3=Roelof |last3=Koekoek||first4=René F. |last4=Swarttouw}}
{{q超几何函数}}
[[Category:Q超几何多项式]]