A note on the moments of the Riesz–Nágy–Takács distribution

The Riesz–Nágy–Takács (RNT) distribution generalizes the dyadic Riesz–Nágy distribution that has been the subject of recent investigations. In order to study orthogonal polynomials with respect to the RNT distribution it is crucial to know the moments of the distribution. We develop a recurrence rel...

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 348; no. 1; pp. 165 - 168
Main Author Baek, In-Soo
Format Journal Article
LanguageEnglish
Published San Diego, CA Elsevier Inc 01.12.2008
Elsevier
Subjects
Difference and functional equations, recurrence relations
Exact sciences and technology
Fourier analysis
Mathematical analysis
Mathematics
Metric number theory
Moment
Numerical analysis
Numerical analysis. Scientific computation
Real functions
Sciences and techniques of general use
Singular distribution function
Special functions
Moment
Singular distribution function
Metric number theory
Mathematical analysis
Recurrence relation
Singular function
Distribution function
Metric theory
Metric
Application
Orthogonal polynomial
Number theory
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Summary:The Riesz–Nágy–Takács (RNT) distribution generalizes the dyadic Riesz–Nágy distribution that has been the subject of recent investigations. In order to study orthogonal polynomials with respect to the RNT distribution it is crucial to know the moments of the distribution. We develop a recurrence relation for these moments.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2008.07.014