\(q\)-identities from Lagrange and Newton interpolation

DOI10.1016/S0196-8858(03)00024-1zbMath1029.05010arXivmath/0211406OpenAlexW2070253883MaRDI QIDQ1415391

Amy M. Fu, Lascoux, Alain

Publication date: 3 December 2003

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0211406

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Interpolation in approximation theory (41A05)

Related Items

Combinatorial identities from contour integrals of rational functions, Some \(q\)-congruences for homogeneous and quasi-homogeneous multiple \(q\)-harmonic sums, Some combinatorial and analytical identities, On a general \(q\)-identity, A Newton interpolation approach to generalized Stirling numbers, Cyclic sum of certain parametrized multiple series, Some further \(q\)-series identities related to divisor functions, Basic and bibasic identities related to divisor functions, Extensions of \(q\)-Chu-Vandermonde's identity, Divided differences and a unified approach to evaluating determinants involving generalized factorials, Elementary proofs of some \(q\)-identities of Jackson and Andrews--Jain, On some \(q\)-identities related to divisor functions, A \(2n\)-point interpolation formula with its applications to \(q\)-identities, A generalization of Ohno's relation for multiple zeta values, Some congruences related to the q-Fermat quotients, Duality for finite multiple harmonic \(q\)-series

Cites Work

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• Some \(q\)-series identities related to divisor functions
• A note on alternating sums
• Some applications of theq-Rice formula