On the Condition of Orthogonal Polynomials via Modified Moments | Zendy

Hans-Jürgen Fischer | Zendy

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On the Condition of Orthogonal Polynomials via Modified Moments

Author(s) -

Hans-Jürgen Fischer

Publication year - 1996

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/696

Subject(s) - orthogonal polynomials , mathematics , classical orthogonal polynomials , discrete orthogonal polynomials , gegenbauer polynomials , hahn polynomials , pure mathematics , algebra over a field

. We consider the condition of orthogonal polynomials, encoded by the coefficients oftheir three-term recurrence relation, if the measure is given by modified moments (i.e. integralsof certain polynomials forming a basis). The results concerning various polynomial bases areillustrated with simple examples of generating (possibly shifted) Chebyshev polynomials of firstand second kind.Keywords: Orthogonal polynomials, recurrence relation, modified moments, polynomial basis,conditionAMS...

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