تقرير
Determinant structure for tau-function of holonomic deformation of linear differential equations
| العنوان: | Determinant structure for tau-function of holonomic deformation of linear differential equations |
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| المؤلفون: | Ishikawa, Masao, Mano, Toshiyuki, Tsuda, Teruhisa |
| سنة النشر: | 2017 |
| المجموعة: | Mathematics Nonlinear Sciences |
| مصطلحات موضوعية: | Mathematics - Classical Analysis and ODEs, Nonlinear Sciences - Exactly Solvable and Integrable Systems |
| الوصف: | In our previous works, a relationship between Hermite's two approximation problems and Schlesinger transformations of linear differential equations has been clarified. In this paper, we study tau-functions associated with holonomic deformations of linear differential equations by using Hermite's two approximation problems. As a result, we present a determinant formula for the ratio of tau-functions (tau-quotient). Comment: 24 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/s00220-018-3256-z |
| URL الوصول: | http://arxiv.org/abs/1706.08373 |
| رقم الأكسشن: | edsarx.1706.08373 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/s00220-018-3256-z |
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