A ``differential'' derivation of the recurrence relations for the classical orthogonal polynomials (Q1318416)
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scientific article; zbMATH DE number 540471
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A ``differential'' derivation of the recurrence relations for the classical orthogonal polynomials |
scientific article; zbMATH DE number 540471 |
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A ``differential'' derivation of the recurrence relations for the classical orthogonal polynomials (English)
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18 August 1994
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The aim of the author is to give a new method to obtain the recurrence relations for classical orthogonal polynomials. The method is based on a special commutator algebra and needs only the knowledge of the first polynomial in addition to the differential equation satisfied by the polynomials. The basic idea of the method is explained on an example where the Jacobi polynomials are considered.
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operator algebra
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recurrence relations
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Jacobi polynomials
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