Displaying similar documents to “The coefficients of the Laurent expansion of analytic functions”

Equivalence of analytic and rational functions

J. Bochnak, M. Buchner, W. Kucharz (1997)

Annales Polonici Mathematici

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We give a criterion for a real-analytic function defined on a compact nonsingular real algebraic set to be analytically equivalent to a rational function.

Explicit rational solutions of Knizhnik-Zamolodchikov equation

Lev Sakhnovich (2008)

Open Mathematics

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We consider the Knizhnik-Zamolodchikov system of linear differential equations. The coefficients of this system are rational functions generated by elements of the symmetric group 𝒮 n n. We assume that parameter ρ = ±1. In previous paper [5] we proved that the fundamental solution of the corresponding KZ-equation is rational. Now we construct this solution in the explicit form.