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