Schlesinger’s Equations for Upper Triangular Matrices and Their Solutions

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Abstract

We consider explicit integral expressions of hypergeometric and hyperelliptic types for solutions of Schlesinger’s equations in classes of upper triangular matrices with eigenvalues that produce arithmetic progressions with the same difference. These integral representations extend and generalize earlier known results.

About the authors

V P Lexin

State Socio-Humanitarian University

Email: lexin_vpmail.ru
Kolomna, Russia

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