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4 papers · 2 filters
Status of the differential transformation method
C. Bervillier
Further to a recent controversy on whether the differential transformation method (DTM) for solving a differential equation is purely and solely the traditional Taylor series metho…
Singletons and their maximal symmetry algebras
Xavier Bekaert
Singletons are those unitary irreducible modules of the Poincare or (anti) de Sitter group that can be lifted to unitary modules of the conformal group. Higher-spin algebras are th…
Analytic continuation of Taylor series and the two-point boundary value problems of some nonlinear ordinary differential equations
S. Abbasbandy, C. Bervillier
We compare and discuss the respective efficiency of three methods (with two variants for each of them), based respectively on Taylor (Maclaurin) series, Padé approximants and confo…
Central extension of the reflection equations and an analog of Miki's formula
P. Baseilhac, S. Belliard
Two different types of centrally extended quantum reflection algebras are introduced. Realizations in terms of the elements of the central extension of the Yang-Baxter algebra are…