summary：

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.

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##### IMI(Institute of Mathematics for Industry)

# Seminar

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## Connection formulae of second order linear $q$-difference equations

Hold Date | 2011-06-03 16:45～2011-06-03 18:15 | |

Place | Seminar Room 7, Faculty of Mathematics, Kyushu University | |

Object person | ||

Speaker | Ken MORITA (Osaka University) | |