Quadratic Transformations of the Sixth Painleve Equation
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Kyushu University 21st Century COE Program Development of Dynamic Mathematics with High Functionality九州大学21世紀COEプログラム「機能数理学の構築と展開」Concise forms of Kitaev's quadratic transformation between Painleve VI equationswith the local monodromy differences (1/2, 1/2, a, b) and (a, a, b, b) are presented.This transformation is related to better known quadratic transformations (due toManin and Ramani-Grammaticos-Tamizhmani) via Okamoto transformations. Usingthe new concise formulas, we derive explicit expressions for several algebraic PainleveVI functions.
- Wileyの論文
- 2007-11-08
Wiley | 論文
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