| Autor: |
F.P.H. van Beckum, J.R. Heringa, F.W. Wiegel |
| Přispěvatelé: |
University of Twente |
| Rok vydání: |
1981 |
| Předmět: |
|
| Zdroj: |
Physica A, 108(2-3), 598-604. Elsevier |
| ISSN: |
0378-4371 |
| DOI: |
10.1016/0378-4371(81)90154-0 |
| Popis: |
We study the class C of (generalized) orthogonal polynomial sequences {Pn(x)}n=0∞ satisfying a recurrence relation of the type Pn(x) = (x − cn)Pn−1(x) − λnPn−2(x), n> 1, where λn ≠ 0 and the sequence {λn+1/(cncn+1)}n=1∞ constitutes a chain sequence. We obtain a new characterization of C in terms of the moment sequence associated with an orthogonal polynomial sequence, and contribute to the solution of the problem of determining a (signed) orthogonalizing measure for a member of C. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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