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Orthogonal polynomials on the unit circle : ウィキペディア英語版 | Orthogonal polynomials on the unit circle In mathematics, orthogonal polynomials on the unit circle are families of polynomials that are orthogonal with respect to integration over the unit circle in the complex plane, for some probability measure on the unit circle. They were introduced by . ==Definition==
Suppose that μ is a probability measure on the unit circle in the complex plane, whose support is not finite. The orthogonal polynomials associated to μ are the polynomials Φ''n''(''z'') with leading coefficients ''z''''n'' that are orthogonal with respect to the measure μ.
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Orthogonal polynomials on the unit circle」の詳細全文を読む
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