Divided differences and generalized Taylor series

DOI10.1515/FORUM.2008.050zbMath1204.41024OpenAlexW1971422687MaRDI QIDQ3546148

Chu Wenchang

Publication date: 18 December 2008

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum.2008.050

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items

Hagen–Rothe Convolution Identities Through Lagrange Interpolations ⋮ Divided differences and well-poised q-series ⋮ Approach of \(q\)-derivative operators to terminating \(q\)-series formulae ⋮ The q-derivative formula and determinant identities ⋮ A \(q\)-series expansion formula and the Askey-Wilson polynomials ⋮ Divided differences and terminating well-poised hypergeometric series ⋮ Generalized Leibniz functional matrices and divided difference form of the Lagrange-Bürmann formula ⋮ Moments on Catalan numbers ⋮ Moments of combinatorial and Catalan numbers ⋮ On the Askey–Wilson polynomials and a $q$-beta integral

Cites Work

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• Some inverse relations
• An expansion formula for \(q\)-series and applications
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• A Matrix Inverse
• Applications of q-Lagrange Inversion to Basic Hypergeometric Series
• A New q-Lagrange Formula and some Applications
• Operator Methods and Lagrange Inversion: A Unified Approach to Lagrange Formulas
• A Noncommutative Generalization and q-Analog of the Lagrange Inversion Formula
• Basic hypergeometric identities: An introductory revisiting through the Carlitz inversions