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A Newton type rational interpolation formula
Authors:Amy M Fu  Alain Lascoux  
Institution:aCenter for Combinatorics, LPMC, PCSIRT, Nankai University, Tianjin 300071, PR China;bUniversité Paris-Est, CNRS, IGM, 77454 Marne-la-Vallée Cedex, France
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.
Keywords:Newton type rational interpolation formula  Bibasic identities
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