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

Taro Hamamoto; Kenji Kajiwara

doi:10.1088/1751-8113/40/42/S01

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

Taro Hamamoto, Kenji Kajiwara

Division of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	12509-12524
Number of pages	16
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	40
Issue number	42
DOIs	https://doi.org/10.1088/1751-8113/40/42/S01
Publication status	Published - Oct 19 2007

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Statistics and Probability
Modelling and Simulation
Mathematical Physics
Physics and Astronomy(all)

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10.1088/1751-8113/40/42/S01

Cite this

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abstract = "We consider the q-Painlev{\'e} equation of type A(1) 4 (a version of q-Painlev{\'e} 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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AB - 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.

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

Abstract

All Science Journal Classification (ASJC) codes

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