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Seminars

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.