期刊
MATHEMATICS IN COMPUTER SCIENCE
卷 15, 期 1, 页码 15-31出版社
SPRINGER BASEL AG
DOI: 10.1007/s11786-020-00468-y
关键词
Quadratic decomposition; d-Orthogonal polynomials; d-Symmetric polynomials; Symbolic computations
资金
- CMUP - FCT (Portugal) [UID/MAT/00144/2019]
- national (ME)
- European structural funds through the programs FEDER, under the partnership agreement PT2020
We apply a symbolic approach to perform a general quadratic decomposition of polynomial sequences satisfying specific orthogonal conditions. This decomposition generates new sets of polynomials, whose properties are investigated through computational results and further commands, exploring the classical character of the polynomial sequences.
We apply a symbolic approach of the general quadratic decomposition of polynomial sequences-presented in a previous article referenced herein-to polynomial sequences fulfilling specific orthogonal conditions towards two given functionals u(0), u(1) belonging to the dual of the vector space of polynomials with coefficients in C. The general quadratic decomposition produces four new sets of polynomials whose properties are investigated with the help of the mentioned symbolic approach together with further commands which inquire relevant features, as for instance, the classical character of a polynomial sequence. The computational results are detailed for a wide range of choices of parameters and co-recursive type polynomial sequences are also explored.
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