Linear Pfaffian Systems and Classical Solutions of Triangular Schlesinger Equations

In this paper, by classical solutions we mean solutions to Fuchsian type meromorphic linear integrable Pfaffian systems d y = Ω y on the complex linear spaces ℂ n , n ≥ 1, where y ( z ) = ( y 1 ( z ) ,..., y n ( z ) T ∈ ℂ n is a column vector and Ω is a meromorphic matrix differential 1-form such th...

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Bibliographic Details
Published in:Proceedings of the Steklov Institute of Mathematics 2020, Vol.308 (1), p.196-207
Main Author: Leksin, V. P.
Format: Article
Language:English
Subjects:
Coefficients
Hypergeometric functions
Integrals
Linear functions
Mathematical analysis
Mathematics
Mathematics and Statistics
Matrix algebra
Matrix methods
Nonlinear equations
Parameters
Polynomials
Vector spaces
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Summary:In this paper, by classical solutions we mean solutions to Fuchsian type meromorphic linear integrable Pfaffian systems d y = Ω y on the complex linear spaces ℂ n , n ≥ 1, where y ( z ) = ( y 1 ( z ) ,..., y n ( z ) T ∈ ℂ n is a column vector and Ω is a meromorphic matrix differential 1-form such that Ω = ∑ 1 ≤i
ISSN:0081-5438
1531-8605
DOI:10.1134/S0081543820010150