查看“︁离散q-埃尔米特I多项式”︁的源代码

'''离散q-埃尔米特多项式'''是以[[超几何函数]]定义的[[正交多项式]]<ref>Roelof Koekoek, p547-549,Springer 2010</ref>

:<math>\displaystyle h_n(x;q)=q^{\binom{n}{2}}{}_2\phi_1(q^{-n},x^{-1};0;q,-qx) = x^n{}_2\phi_0(q^{-n},q^{-n+1};;q^2,q^{2n-1}/x^2) = U_n^{(-1)}(x;q)  </math>

==图集==
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|[[File:DISCRETE Q-HERMITE I IM COMPLEX 3D MAPLE PLOT.gif|thumb|DISCRETE Q-HERMITE I IM COMPLEX 3D MAPLE PLOT]]
|[[File:DISCRETE Q-HERMITE I RE COMPLEX 3D MAPLE PLOT.gif|thumb|DISCRETE Q-HERMITE I RE COMPLEX 3D MAPLE PLOT]]
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|[[File:DISCRETE Q-HERMITE I ABS DENSITY MAPLE PLOT.gif|thumb|DISCRETE Q-HERMITE I ABS DENSITY MAPLE PLOT]]
|[[File:DISCRETE Q-HERMITE I IM DENSITY MAPLE PLOT.gif|thumb|DISCRETE Q-HERMITE I IM DENSITY MAPLE PLOT]]
|[[File:DISCRETE Q-HERMITE I RE DENSITY MAPLE PLOT.gif|thumb|DISCRETE Q-HERMITE I RE DENSITY MAPLE PLOT]]
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==参考文献==
<references/>
*{{Citation | last1=Berg | first1=Christian | last2=Ismael | first2=Mourad  | year=1994 | title=Q-Hermite Polynomials and Classical Orthogonal Polynomials [http://arxiv.org/pdf/math/9405213v1.pdf]}}
*{{Citation | last1=Al-Salam | first1=W. A. | last2=Carlitz | first2=L. | author2-link=Leonard_Carlitz | title=Some orthogonal q-polynomials | doi=10.1002/mana.19650300105 | mr=0197804 | year=1965 | journal=[[Mathematische Nachrichten]] | issn=0025-584X | volume=30 | pages=47–61}}
*{{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:正交多项式]]
[[Category:q超几何多项式]]
[[Category:Q-模拟]]