Deducing infinitely many mutually related sequences of orthogonal polynomials from solutions of first-order initial-value problems: An illustrative example (Q810701)
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scientific article; zbMATH DE number 4214392
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Deducing infinitely many mutually related sequences of orthogonal polynomials from solutions of first-order initial-value problems: An illustrative example |
scientific article; zbMATH DE number 4214392 |
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Deducing infinitely many mutually related sequences of orthogonal polynomials from solutions of first-order initial-value problems: An illustrative example (English)
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1991
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The subject example is based on the first order equation \(y'=[x- (ax+1)y]/x^ 2\), \(y(0)=0\), \(a\in (-1,\infty)\). The equation is solved by series methods and infinitely many related systems of orthogonal polynomials are generated.
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first order equation
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series methods
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systems of orthogonal polynomials
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0.8686825
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0.8661139
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0.8650128
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0.86261934
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0.85967934
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0.85754246
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