Journal
OPUSCULA MATHEMATICA
Volume 32, Issue 4, Pages 675-687Publisher
AGH UNIV SCIENCE & TECHNOLOGY PRESS
DOI: 10.7494/OpMath.2012.32.4.675
Keywords
symmetric polynomials; orthogonal polynomials; cubic decomposition; symbolic computations; Mathematica 8.0.1.0
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Funding
- FCT (Portugal)
- Program POPH/FSE
- European Regional Development Fund through the programme COMPETE
- Portuguese Government through the FCT Fundacao para a Ciencia e a Tecnologia [PEst-C/MAT/UI0144/2011]
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We deal with a symbolic approach to the cubic decomposition (CD) of polynomial sequences - presented in a previous article referenced herein - which allows us to compute explicitly the first elements of the nine component sequences of a CD. Properties are investigated and several experimental results are discussed, related to the CD of some widely known orthogonal sequences. Results concerning the symmetric character of the component sequences are established.
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