Perturbations of Laguerre-Hahn linear functionals (Q1301949)
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scientific article; zbMATH DE number 1334855
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Perturbations of Laguerre-Hahn linear functionals |
scientific article; zbMATH DE number 1334855 |
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Perturbations of Laguerre-Hahn linear functionals (English)
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12 September 1999
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The authors study the so-called Laguerre-Hahn linear functionals. In particular, they proof that the addition of Dirac deltas and the left multiplication by a polynomial to such a functional is also a Laguerre-Hahn functional. Using the notion of class of a Laguerre-Hahn functional it is seen how the above transformations modify the class of a given functional. The results are illustrated with many examples.
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Laguerre-Hahn polynomial
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orthogonal polynomial
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recurrence relation
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Laguerre-Hahn functional
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