On the coefficients of integrated expansions of ultraspherical polynomials
Date
1990Source
SIAM Journal on Numerical AnalysisVolume
27Issue
3Pages
823-830Google Scholar check
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The problem of expressing the coefficients of an expansion of orthogonal polynomials that has been integrated an arbitrary number of times in terms of the coefficients of the original expansion is considered. A formula is proved for the ultraspherical polynomials, of which the Chebyshev and Legendre polynomials are important special cases.