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Racah polynomials : ウィキペディア英語版
Racah polynomials
In mathematics, Racah polynomials are orthogonal polynomials named after Giulio Racah, as their orthogonality relations are equivalent to his orthogonality relations for Racah coefficients.
The Racah polynomials were first defined by and are given by
:p_n(x(x+\gamma+\delta+1)) = ">-n &n+\alpha+\beta+1&-x&x+\gamma+\delta+1\\
\alpha+1&\gamma+1&\beta+\delta+1\\ \end;1\right ).
introduced the ''q''-Racah polynomials defined in terms of basic hypergeometric functions by
:p_n(q^+q^cd;a,b,c,d;q) = ">q^ &abq^&q^&q^cd\\
aq&bdq&cq\\ \end;q;q\right ).
They are sometimes given with changes of variables as
:W_n(x;a,b,c,N;q) = ">q^ &abq^&q^&cq^\\
aq&bcq&q^\\ \end;q;q\right ).
==References==

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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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