Exact solutions of a
q
-discrete second Painlevé equation from its iso-monodromy deformation problem. II. Hypergeometric solutions
2012 ◽
Vol 468
(2146)
◽
pp. 3247-3264
◽
Keyword(s):
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.
2011 ◽
Vol 467
(2136)
◽
pp. 3443-3468
◽
2007 ◽
Vol 153
(1)
◽
pp. 1398-1406
◽
Keyword(s):
2012 ◽
Vol 64
(3)
◽
pp. 733-781
◽
Keyword(s):
1998 ◽
Vol 9
(3)
◽
pp. 223-243
◽
2006 ◽
pp. 261-295
Keyword(s):
Keyword(s):