Quick construction of recurrence relations for the Jacobi coefficients (Q1195744)
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scientific article; zbMATH DE number 85941
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quick construction of recurrence relations for the Jacobi coefficients |
scientific article; zbMATH DE number 85941 |
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Quick construction of recurrence relations for the Jacobi coefficients (English)
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18 January 1993
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The author presents recurrence relations for the Jacobi series coefficients of functions. Differential equations up to fourth order are studied. Some useful considerations are made for fourth-order differential equations. Two illustrative examples are given and completely studied and both are connected with the \((n-1)\)-th associated Jacobi polynomial \(W_{n-1}^{(\alpha,\beta)}\).
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difference operators
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linear differential equation
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recurrence relations
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Jacobi series coefficients
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Jacobi polynomial
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