Favard's theorem (original) (raw)
In mathematics, Favard's theorem, also called the Shohat–Favard theorem, states that a sequence of polynomials satisfying a suitable 3-term recurrence relation is a sequence of orthogonal polynomials. The theorem was introduced in the theory of orthogonal polynomials by Favard and , though essentially the same theorem was used by Stieltjes in the theory of continued fractions many years before Favard's paper, and was rediscovered several times by other authors before Favard's work.
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| dbo:abstract | In mathematics, Favard's theorem, also called the Shohat–Favard theorem, states that a sequence of polynomials satisfying a suitable 3-term recurrence relation is a sequence of orthogonal polynomials. The theorem was introduced in the theory of orthogonal polynomials by Favard and , though essentially the same theorem was used by Stieltjes in the theory of continued fractions many years before Favard's paper, and was rediscovered several times by other authors before Favard's work. (en) En mathématiques, le théorème de Favard, aussi appelé théorème de Shohat–Favard, d'après Jean Favard et (en), affirme qu'une suite de polynômes satisfaisant une certaine relation de récurrence à trois termes est une suite de polynômes orthogonaux. (fr) |
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| dbp:title | Favard theorem (en) |
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| gold:hypernym | dbr:Sequence |
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| rdfs:comment | In mathematics, Favard's theorem, also called the Shohat–Favard theorem, states that a sequence of polynomials satisfying a suitable 3-term recurrence relation is a sequence of orthogonal polynomials. The theorem was introduced in the theory of orthogonal polynomials by Favard and , though essentially the same theorem was used by Stieltjes in the theory of continued fractions many years before Favard's paper, and was rediscovered several times by other authors before Favard's work. (en) En mathématiques, le théorème de Favard, aussi appelé théorème de Shohat–Favard, d'après Jean Favard et (en), affirme qu'une suite de polynômes satisfaisant une certaine relation de récurrence à trois termes est une suite de polynômes orthogonaux. (fr) |
| rdfs:label | Favard's theorem (en) Théorème de Favard (fr) |
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