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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)

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.