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Quadratic transformations for the third and fifth Painlevé equations

✍ Scribed by A. V. Kitaev

Publisher
Springer US
Year
2006
Tongue
English
Weight
440 KB
Volume
136
Category
Article
ISSN
1573-8795

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📜 SIMILAR VOLUMES

Quadratic transformations for the sixth
Quadratic transformations for the sixth Painlevé equation
✍ A. V. Kitaev 📂 Article 📅 1991 🏛 Springer 🌐 English ⚖ 234 KB

A new type of transformation is found for the Painlev6 six equation which can be considered as an analog of the well-known quadratic transformations for hypergeometric functions.

Quadratic transformations of the sixth P
Quadratic transformations of the sixth Painlevé equation with application to algebraic solutions
✍ Raimundas Vidunas; Alexander V. Kitaev 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 286 KB

## Abstract In 1991, one of the authors showed the existence of quadratic transformations between the Painlevé VI equations with local monodromy differences (1/2, __a__, __b__, ±1/2) and (__a__, __a__, __b__, __b__). In the present paper we give concise forms of these transformations. They are rela