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Rogers–Szegő polynomials
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Rogers–Szegő polynomials : ウィキペディア英語版
Rogers–Szegő polynomials

In mathematics, the Rogers–Szegő polynomials are a family of polynomials orthogonal on the unit circle introduced by , who was inspired by the continuous ''q''-Hermite polynomials studied by Leonard James Rogers. They are given by
:h_n(x;q) = \sum_^n\frac{(q;q)_k(q;q)_{n-k}}x^k
where (''q'';''q'')''n'' is the descending q-Pochhammer symbol.
==References==

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th. Ki. | volume=XIX | pages=242–252}}

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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