查看“︁Q克拉夫楚克多项式”︁的源代码

'''q克拉夫楚克多项式'''是以[[基本超几何函数]]定义的[[正交多项式]]<ref name=r>Roelof KoeKoek, p496</ref>

<math>K_n(q^{-x};p,N;q)=_3\Phi_2(q^{-n},q^{-x},-pq^n;q^{-N},0|q;q)</math>

==图集==
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|[[File:QKrawtchouk polynomials ABS COMPLEX 3D Maple plot.gif|thumb|QKrawtchouk polynomials ABS COMPLEX 3D Maple plot]]
|[[File:QKrawtchouk polynomials IM COMPLEX 3D Maple plot.gif|thumb|QKrawtchouk polynomials IM COMPLEX 3D Maple plot]]
|[[File:QKrawtchouk polynomials RE COMPLEX 3D Maple plot.gif|thumb|QKrawtchouk polynomials RE COMPLEX 3D Maple plot]]
|}
{|
|[[File:QKrawtchouk polynomials ABS density Maple plot.gif|thumb|QKrawtchouk polynomials ABS density Maple plot]]
|[[File:QKrawtchouk polynomials im density Maple plot.gif|thumb|QKrawtchouk polynomials im density Maple plot]]
|[[File:QKrawtchouk polynomials RE density Maple plot.gif|thumb|QKrawtchouk polynomials RE density Maple plot]]
|}


==参考文献==
*{{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}}
*{{Citation | last1=Stanton | first1=Dennis | title=Three addition theorems for some q-Krawtchouk polynomials | doi=10.1007/BF01447435 | mr=608153 | year=1981 | journal=Geometriae Dedicata | issn=0046-5755 | volume=10 | issue=1 | pages=403–425}}

[[Category:正交多项式]]
[[Category:基本超几何函数]]
{{q超几何函数}}
[[Category:Q超几何多项式]]