The second-order self-associated orthogonal sequences
The aim of this work is to describe the orthogonal polynomials sequences which are identical to their second associated sequence. The resulting polynomials are semiclassical of class s≤3. The characteristic elements of the structure relation and of the second-order differential equation are given ex...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2004-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X04402058 |
| Summary: | The aim of this work is to describe the orthogonal
polynomials sequences which are identical to their second
associated sequence. The resulting polynomials are semiclassical
of class s≤3. The characteristic elements of the structure
relation and of the second-order differential equation are given
explicitly. Integral representations of the corresponding forms
are also given. A striking particular case is the case of the
so-called electrospheric polynomials. |
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| ISSN: | 1110-757X 1687-0042 |