A Particular Solution of a Painlevé System in Terms of the Hypergeometric Function n+1Fn

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2010
• Автор: Suzuki, T.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2010
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/146500
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: A Particular Solution of a Painlevé System in Terms of the Hypergeometric Function n+1Fn / T. Suzuki // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 6 назв. — англ.

In a recent work, we proposed the coupled Painlevé VI system with A2n+1⁽¹⁾-symmetry, which is a higher order generalization of the sixth Painlevé equation (PVI). In this article, we present its particular solution expressed in terms of the hypergeometric function n+1Fn. We also discuss a degeneratio...