3.8 Article

Symbolic Approach to the General Quadratic Polynomial Decomposition

Journal

MATHEMATICS IN COMPUTER SCIENCE
Volume 12, Issue 2, Pages 151-172

Publisher

SPRINGER BASEL AG
DOI: 10.1007/s11786-018-0337-5

Keywords

Quadratic decomposition; Orthogonal polynomials; Symmetric polynomials; Symbolic computations

Funding

  1. CMUP - FCT (Portugal) [UID/MAT/00144/2013]
  2. European structural funds (FEDER)
  3. Portuguese Funds through FCT-Fundacao para a Ciencia e a Tecnologia [UID/MAT/00013/2013]

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In this work we deal with a symbolic approach to the general quadratic polynomial decomposition. By means of a symbolic implementation, we investigate some properties of the components sequences like orthogonality and symmetry. We present some explicit results for a collection of well known orthogonal cases.

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