Characterizations of distributional weights for weak orthogonal polynomials satisfying a second-order differential equation (Q495613)
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scientific article; zbMATH DE number 6482010
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterizations of distributional weights for weak orthogonal polynomials satisfying a second-order differential equation |
scientific article; zbMATH DE number 6482010 |
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Characterizations of distributional weights for weak orthogonal polynomials satisfying a second-order differential equation (English)
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14 September 2015
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The author classifies all weak orthogonal polynomials satisfying a second-order differential equation \(A(x)y''+ B(x)y'= k_n y\), where \(A(x)= ax^2+ bx+ c\), \(B(x)= ex+f\) are polynomials of degree at most two and one, respectively, and \(k_n\) is the eigenvalue parameter \(en+an(n-1)\), \(n\geq 0\).
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weak orthogonal polynomial
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recurrence relations
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differential equation
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orthogonalizing weights
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0.87723416
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0.87232995
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0.8669281
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0.8667439
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