Schlesinger’s Equations for Upper Triangular Matrices and Their Solutions
- Authors: Lexin VP1
-
Affiliations:
- State Socio-Humanitarian University
- Issue: Vol 64, No 1 (2018): Differential and Functional Differential Equations
- Pages: 86-97
- Section: New Results
- URL: https://journals.rudn.ru/CMFD/article/view/22263
- DOI: https://doi.org/10.22363/2413-3639-2018-64-1-86-97
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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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