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Polynomials biorthogonal to Appell's polynomials

Published online by Cambridge University Press:  17 April 2009

Edward D. Fackerell  and
R.A. Littler
Edward D. Fackerell
Affiliation:
Department of Applied Mathematics, University of Sydney, Sydney, New South Wales;
R.A. Littler
Affiliation:
Department of Mathematics, Waikato University, Hamilton, New Zealand.
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Abstract

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We present the solution of a long-standing problem, namely, the determination of a set of polynomials in two independent variables which are biorthogonal over a triangular region to a set of polynomials previously introduced by Appell. Some elementary properties of our polynomials are investigated.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 11 , Issue 2 , October 1974 , pp. 181 - 195
Copyright
Copyright © Australian Mathematical Society 1974

References

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