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Affine q-Krawtchouk polynomials : ウィキペディア英語版
Affine q-Krawtchouk polynomials
In mathematics, the affine ''q''-Krawtchouk polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme, introduced by Carlitz and Hodges. give a detailed list of their properties.
==Definition==

The polynomials are given in terms of basic hypergeometric functions and the Pochhammer symbol by ]]〔Roelof Koekoek, Hypergeometric Orthogonal Polynomials and its q-Analogues, p501,Springer,2010〕
K^_(q^;p;N;q)=\;_\phi_1\left(\begin
q^ &0 & q^ \\
pq &q^ \end
; q,q \right)
n=0,1,2,\cdots N
:\displaystyle

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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