Amy M. Fu, Alain Lascoux
Published 2004-04-04Version 1
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.
Contiguous relations and summation and transformation formulas for basic hypergeometric series
The Cauchy Operator for Basic Hypergeometric Series
Short Proofs of Summation and Transformation Formulas for Basic Hypergeometric Series
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