Rational interpolation and basic hypergeometric series - Archive ouverte HAL Access content directly
Journal Articles Advances in Applied Mathematics Year : 2008

Rational interpolation and basic hypergeometric series

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.

Dates and versions

hal-00622763 , version 1 (12-09-2011)

Identifiers

Cite

Amy M. Fu, Alain Lascoux. Rational interpolation and basic hypergeometric series. Advances in Applied Mathematics, 2008, 41 (3), pp.452-458. ⟨10.1016/j.aam.2008.01.003⟩. ⟨hal-00622763⟩
48 View
0 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More