Nonlinear perturbations of Fuchsian systems: corrections and linearization, normal forms
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Publication:3525173
DOI10.1088/0951-7715/21/9/009zbMath1153.34056arXiv0706.2343OpenAlexW3105135725MaRDI QIDQ3525173
Publication date: 11 September 2008
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0706.2343
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35)
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Differential systems with Fuchsian linear part: correction and linearization, normal forms and multiple orthogonal polynomials ⋮ Jacobi series for general parameters via Hadamard finite part and application to nonhomogeneous hypergeometric equations ⋮ Matrix-valued polynomials generated by the scalar-type Rodrigues' formulas ⋮ A class of matrix-valued polynomials generalizing Jacobi polynomials
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