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Repeated modifications of orthogonal polynomials by linear divisors

✍ Scribed by Walter Gautschi

Book ID
120755082
Publisher
Springer US
Year
2012
Tongue
English
Weight
358 KB
Volume
63
Category
Article
ISSN
1017-1398

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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