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Rational Interpolation and Basic Hypergeometric Series

Amy M. Fu·Alain Lascoux
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Abstract

We give a Newton type rational interpolation formula (Theorem \ref{theo}). It contains as a special case the original Newton interpolation, as well as the recent interpolation formula of Zhi-Guo Liu, which allows to recover many important classical $q$-series identities. We show in particular that some bibasic identities are a consequence of our formula.

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Amy M. Fu, Alain Lascoux. 2004-04-04. Rational Interpolation and Basic Hypergeometric Series. https://arxiv.org/abs/math/0404063

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