arXiv subjects

Amy M. Fu

Publications and source records attributed to Amy M. Fu.

21 records · Page 2Linked to original sources

arXiv2004

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.

math.CO↗

arXiv2004

Partition Analysis and Symmetrizing Operators

Using a symmetrizing operator, we give a new expression for the Omega operator used by MacMahon in Partition Analysis, and given a new life by Andrews and his coworkers. Our result is stated in terms of Schur functions.

math.CO↗

arXiv2002

q-Identities from Lagrange and Newton Interpolation

Combining Newton and Lagrange interpolation, we give $q$-identities which generalize results of Van Hamme, Uchimura, Dilcher and Prodinger.

math.CO↗