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Connection coefficients between orthogonal polynomials and the canonical sequence: an approach based on symbolic computation

Title
Connection coefficients between orthogonal polynomials and the canonical sequence: an approach based on symbolic computation
Type
Article in International Scientific Journal
Year
2008
Authors
Maroni, P
(Author)
Other
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da Rocha, Z
(Author)
FCUP
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Journal
Title: Numerical AlgorithmsImported from Authenticus Search for Journal Publications
Vol. 47
Pages: 291-314
ISSN: 1017-1398
Publisher: Springer Nature
Scientific classification
FOS: Natural sciences > Mathematics
Other information
Authenticus ID: P-004-1AK
Abstract (EN): We deal with the problem of obtaining closed formulas for the connection coefficients between orthogonal polynomials and the canonical sequence. We use a recurrence relation fulfilled by these coefficients and symbolic computation with the Mathematica language. We treat the cases of Gegenbauer, Jacobi and a new semi-classical sequence.
Language: English
Type (Professor's evaluation): Scientific
Contact: mrdioh@fc.up.pt
No. of pages: 24
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