Orders of zeros of a polynomial on the trajectory of the solution of a system of linear differential equations with regular singular points.

DOI10.1023/B:MATN.0000043472.04581.9CzbMath1082.34548OpenAlexW2084689218MaRDI QIDQ556546

Renat Gontsov

Publication date: 21 June 2005

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:matn.0000043472.04581.9c

zbMATH Keywords

singular pointsystem of linear differential equationsPoincaré rank.

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35)

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Orders of zeros of polynomials in solutions to the Fuchsian differential equation

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