Abstract
We study the class 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 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.
Original language | English |
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Pages (from-to) | 309-317 |
Number of pages | 9 |
Journal | Journal of computational and applied mathematics |
Volume | 57 |
Issue number | 1-2 |
DOIs | |
Publication status | Published - 1995 |