Rational Interpolation and Basic Hypergeometric Series

Details Rational Interpolation and Basic Hypergeometric Series Rational Interpolation and Basic Hypergeometric Series

2004-04-04

arxiv.org/abs/math/0404063v1

Mathematics

Combinatorics

Scientific paper

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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