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Biorthogonal polynomial : ウィキペディア英語版
Biorthogonal polynomial
In mathematics, a biorthogonal polynomial is a polynomial that is orthogonal to several different measures. Biorthogonal polynomials are a generalization of orthogonal polynomials and share many of their properties. There are two different concepts of biorthogonal polynomials in the literature: introduced the concept of polynomials biorthogonal with respect to a sequence of measures, while Szegő introduced the concept of two sequences of polynomials that are biorthogonal with respect to each other.
==Polynomials biorthogonal with respect to a sequence of measures==

A polynomial ''p'' is called biorthogonal with respect to a sequence of measures ''μ''1, ''μ''2, ... if
:\int p(x) \, d\mu_i(x) =0 whenever ''i'' ≤ deg(''p'').

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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