Connection formulae of second order linear $q$-difference equations
可積分系セミナー
開催期間
2011.6.3(金)
16:45 ~ 18:15
16:45 ~ 18:15
場所
伊都キャンパス 伊都図書館3階 中セミナー室7
講演者
森田 健 (大阪大学)
概要
アブストラクト:
We show connection formulae of some $q$-special functions: two types of
the $q$-Airy functions, the Hahn-Exton $q$-Bessel function,... . These
connection formulae are obtained by using the $q$-Borel transformation
and the $q$-Laplace transformation which are introduced by C. Zhang.
They are useful to consider connection problems between the origin and
the infinity. We also review recent development on connection problems
of linear $q$-difference equations.