Affiliation:
1. School of Mathematics and Statistics, The University of Sydney, New South Wales 2006, Australia
Abstract
This is the second part of our study of the solutions of a
q
-discrete second Painlevé equation (
q
-P
II
) of type (
A
2
+
A
1
)
(1)
via its iso-monodromy deformation problem. In part I, we showed how to use the
q
-discrete linear problem associated with
q
-P
II
to find an infinite sequence of exact rational solutions. In this paper, we study the case giving rise to an infinite sequence of
q
-hypergeometric-type solutions. We find a new determinantal representation of all such solutions and solve the iso-monodromy deformation problem in closed form.
Subject
General Physics and Astronomy,General Engineering,General Mathematics
Cited by
4 articles.
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