Nonlinear Sciences > Exactly Solvable and Integrable Systems
[Submitted on 30 Dec 2006]
Title:Hypergeometric solutions to the q-Painlevé equation of type $A_4^{(1)}$
View PDFAbstract: We consider the q-Painlevé equation of type $A_4^{(1)}$ (a version of q-Painlevé V equation) and construct a family of solutions expressible in terms of certain basic hypergeometric series. We also present the determinant formula for the solutions.
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