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| 概要 |
A class of classical solutions to the q-Painlevé equation of type $${({A}_{1}+{A}_{1}^{prime })}^{left(1\right)}$$ (a q-difference analog of the Painlevé II equation) is constructed in a determinantal... form with basic hypergeometric function elements. The continuous limit of this q-Painlevé equation to the Painlevé II equation and its hypergeometric solutions are discussed. The continuous limit of these hypergeometric solutions to the Airy function is obtained through a uniform asymptotic expansion of their integral representation.続きを見る
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Mendeley出力
