Differential operators having Sobolev-type Gegenbauer polynomials as eigenfunctions (Q1571005)
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scientific article; zbMATH DE number 1472329
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Differential operators having Sobolev-type Gegenbauer polynomials as eigenfunctions |
scientific article; zbMATH DE number 1472329 |
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Differential operators having Sobolev-type Gegenbauer polynomials as eigenfunctions (English)
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26 October 2000
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The author investigates orthogonal polynomials on \((-1,1)\) with respect to a Sobolev-type inner product which generalize the Gegenbauer polynomials. It is proved that these polynomials are eigenfunctions of a differential operator of (in general) infinite order.
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orthogonal polynomials
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Sobolev-type inner product
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Gegenbauer polynomials
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differential operator
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