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A Sequence of Piecewise Orthogonal Polynomials

✍ Scribed by Feng, Y. Y.; Qi, D. X.

Book ID
118200850
Publisher
Society for Industrial and Applied Mathematics
Year
1984
Tongue
English
Weight
775 KB
Volume
15
Category
Article
ISSN
0036-1410

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πŸ“œ SIMILAR VOLUMES

When do linear combinations of orthogona
When do linear combinations of orthogonal polynomials yield new sequences of orthogonal polynomials?
✍ Manuel Alfaro; Francisco MarcellΓ‘n; Ana PeΓ±a; M. Luisa Rezola πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 481 KB

Given {P n } nβ‰₯0 a sequence of monic orthogonal polynomials, we analyze their linear combinations with constant coefficients and fixed length, i.e., Necessary and sufficient conditions are given for the orthogonality of the sequence {Q n } nβ‰₯0 . An interesting interpretation in terms of the Jacobi