Rational Interpolation and Basic Hypergeometric Series
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interpolationformulaidentitiesnewtonrationalseriesallowsbasic
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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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