Rational Interpolation and Basic Hypergeometric Series
  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. 
Amy M. Fu, Alain Lascoux