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Hypergeometric solutions to the q-Painlevé equation of type A(1)4

Taro Hamamoto and Kenji Kajiwara

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We consider the q-Painlevé equation of type A(1)4 (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.


PACS

02.30.Gp Special functions

02.30.Lt Sequences, series, and summability

MSC

33E17 Painlevé-type functions

33Dxx Basic hypergeometric functions

Subjects

Mathematical physics

Dates

Issue 42 (19 October 2007)

Received 30 December 2006

Published 2 October 2007



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