| 2012年11月16日（水） 15:00〜 大阪大学理学部 E416 |
| 講演者： | 森田健（大阪大学情報科学研究科） 15:00〜
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| タイトル： |
タイトル：Connection Problem on the Ramanujan equation
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| アブストラクト： |
We deal with the connection problem on the Ramanujan equation between
around the origin and around the infinity. In the fundamental system of
solutions around the origin, a divergent basic hypergeometric series
appears. We use the q-Borel-Laplace transformations to obtain the
asymptotic expansion of the divergent series. Our conclusion also shows a
new example of the q-Stokes coefficient.
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| 講演者： | 16:30〜 Davide Guzzetti（トリエステ・SISSA）
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| タイトル： |
タイトル：A Review of the Sixth Painleve equation
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| アブストラクト： |
ABSTRACT: The isomonodromy deformation method provides a unitary
description of the critical behaviors of the solutions of the Painleve
6 equation, their connection formulae and the asymptotic distribution of
the poles close to a critical point.
I will discuss the results known on the subject, including those which
I have obtained during my stay in RIMS as a COE fellow (2004-8), and in
KIAS in Seoul (2010-11).
The purpose of the talk is to introduce a table of Painleve 6
transcendents, which will be presented at the workshop "Various aspects
of the Painleve equations", RIMS, Nov 26-30.
References: arXiv:1210.0311
arXiv:1108.3401 (Nonilinearity 25 3235-3276, 2012)
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