查看“︁小q勒让德多项式”︁的源代码

'''小q勒让德多项式'''(Little q-Legender polynomials)是一个以[[基本超几何函数]]定义的[[正交多项式]]<ref>Roelof Koekoek, Hypergeometric Orthogonal Polynomials and its q-Analogues, p486,Springer,2010</ref>

<math>P_n(x|q)=\;_{2}\phi_1\left(\begin{matrix} 
q^{-n} & q^{n+1}   \\ 
q   \end{matrix} 
; q,qx \right)</math>
==极限关系==
小q勒让德多项式→[[勒让德多项式]]

<math>\lim_{q \to 1}p_{n}(x|q)=P_{n}(1-2x)</math>

==图集==
{|
|[[File:LITTLE Q-LEGENDRE POLYNOMIALS ABS COMPLEX 3D MAPLE PLOT.gif|thumb|LITTLE Q-LEGENDRE POLYNOMIALS ABS COMPLEX 3D MAPLE PLOT]]
|[[File:LITTLE Q-LEGENDRE POLYNOMIALS IM COMPLEX 3D MAPLE PLOT.gif|thumb|LITTLE Q-LEGENDRE POLYNOMIALS IM COMPLEX 3D MAPLE PLOT]]
|[[File:LITTLE Q-LEGENDRE POLYNOMIALS RE COMPLEX 3D MAPLE PLOT.gif|thumb|LITTLE Q-LEGENDRE POLYNOMIALS RE COMPLEX 3D MAPLE PLOT]]
|}
{|
|[[File:LITTLE Q-LEGENDRE POLYNOMIALS ABS DENSITY MAPLE PLOT.gif|thumb|LITTLE Q-LEGENDRE POLYNOMIALS ABS DENSITY MAPLE PLOT]]
|[[File:LITTLE Q-LEGENDRE POLYNOMIALS IM DENSITY MAPLE PLOT.gif|thumb|LITTLE Q-LEGENDRE POLYNOMIALS IM DENSITY MAPLE PLOT]]
|[[File:LITTLE Q-LEGENDRE POLYNOMIALS RE DENSITY MAPLE PLOT.gif|thumb|LITTLE Q-LEGENDRE POLYNOMIALS RE DENSITY MAPLE PLOT]]
|}

==参考文献==
<references/>

[[Category:正交多项式]]
[[Category:Q-模拟]]