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Rational interpolation and basic hypergeometric series

Abstract : We give a Newton type rational interpolation formula (Theorem 2.2). It contains as a special case the original Newton interpolation, as well as the interpolation formula of 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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Submitted on : Monday, September 12, 2011 - 4:28:29 PM
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Amy M. Fu, Alain Lascoux. Rational interpolation and basic hypergeometric series. Advances in Applied Mathematics, Elsevier, 2008, 41 (3), pp.452-458. ⟨10.1016/j.aam.2008.01.003⟩. ⟨hal-00622763⟩



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