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Jacobi polynomial expansions of Jacobi polynomials with non-negative coefficients

Published online by Cambridge University Press:  24 October 2008

Richard Askey  and
George Gasper
Richard Askey
Affiliation:
Supported in part by a fellowship from the John Simon Guggenheim Memorial Foundation, in part by the Office of Naval Research under contract N00014-67-A-0128-0012 and in part by the Mathematisch Centrum, Amsterdam.
George Gasper
Affiliation:
Supported in part by the National Research Council of Canada under Grant No. A-4048.
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Extract

The answers to many important questions in the harmonic analysis of orthogonal polynomials are known to depend on the determination of when formulas of the types

and their duals

hold, where pn(x) and qn(x) are suitably normalized orthogonal polynomials or orthogonal polynomials multiplied by certain functions; e.g. e−pxLn(x).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 70 , Issue 2 , September 1971 , pp. 243 - 255
Copyright
Copyright © Cambridge Philosophical Society 1971

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References

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