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Connection coefficients between Boas–Buck polynomial sets
Journal article   Peer reviewed

Connection coefficients between Boas–Buck polynomial sets

Y. Ben Cheikh and H. Chaggara
Journal of mathematical analysis and applications, Vol.319(2), pp.665-689
15/07/2006
DOI: https://doi.org/10.1016/j.jmaa.2005.06.035

Abstract

Boas–Buck polynomials Connection coefficients Generalized hypergeometric polynomials Humbert polynomials Inversion formulas Lagrange's expansion Lowering operator Panda polynomials
In this paper, a general method to express explicitly connection coefficients between two Boas–Buck polynomial sets is presented. As application, we consider some generalized hypergeometric polynomials, from which we derive some well-known results including duplication and inversion formulas.

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