Coalgebraic foundations of the method of divided differences
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Publication:1190229
DOI10.1016/0001-8708(92)90012-AzbMath0782.05010MaRDI QIDQ1190229
Louise Arakelian Raphael, Philip S. Hirschhorn
Publication date: 27 September 1992
Published in: Advances in Mathematics (Search for Journal in Brave)
generating functionscoalgebraLagrange interpolationumbral calculusSheffer sequencesdivided differencesLagrange inversionpolynomial interpolationpolynomial sequencesdual algebrabialgebraalgebra automorphismscoalgebra automorphismsformal power series algebrasequences of Newtonian type
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Related Items (9)
Infinitesimal H-pseudobialgebra and associative pseudo-Yang-Baxter equation ⋮ Unnamed Item ⋮ Quasi-symmetric functions and the KP hierarchy ⋮ Computer algebra and umbral calculus ⋮ Polynomial Sequences of Interpolatory Type ⋮ Drinfeld Double for Braided Infinitesimal Hopf Algebras ⋮ Coproducts and the cd-index ⋮ Weighted infinitesimal unitary bialgebras, pre-Lie, matrix algebras, and polynomial algebras ⋮ Homology of Newtonian coalgebras.
Cites Work
- Polynomials, power series and interpolation
- The umbral calculus
- Formal power series of logarithmic type
- On the structure of Hopf algebras
- On the foundations of combinatorial theory. VIII: Finite operator calculus
- Coalgebras and Bialgebras in Combinatorics
- Divided Differences and Combinatorial Identities
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