We determine sequences of polynomials with rational coefficients that have certain postulated values for their root power sums. These in turn determine four families of orthogonal polynomials that can be expressed in terms of Chebyshev polynomials by change of variable. We examine properties of these sequences of polynomials, two of which have already been studied in a previous paper.
Root power sums and Chebyshev polynomials / Capparelli, Stefano. - In: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS. - ISSN 0035-7596. - STAMPA. - 48:1(2018), pp. 59-74.
Root power sums and Chebyshev polynomials
Stefano Capparelli
2018
Abstract
We determine sequences of polynomials with rational coefficients that have certain postulated values for their root power sums. These in turn determine four families of orthogonal polynomials that can be expressed in terms of Chebyshev polynomials by change of variable. We examine properties of these sequences of polynomials, two of which have already been studied in a previous paper.File allegati a questo prodotto
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Root powers and Chebyshev.pdf
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