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Transcendence of solutions of q-Painlevé equation of type \({A^{(1)}_{6}}\)

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Abstract

In this paper we prove the transcendence of the solutions of the q-Painlevé equation of type \({A_6^{(1)}}\). The q-Painlevé equation of type \({A_6^{(1)}}\) is also called d-P II or q-P II and has a continuous limit to the Painlevé equation of type II. Its symmetry is (A 1 + A 1)(1).

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  1. Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo, 153-8914, Japan

    Seiji Nishioka

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  1. Seiji Nishioka
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Correspondence to Seiji Nishioka.

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Nishioka, S. Transcendence of solutions of q-Painlevé equation of type \({A^{(1)}_{6}}\) . Aequat. Math. 81, 121–134 (2011). https://doi.org/10.1007/s00010-010-0054-x

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  • DOI: https://doi.org/10.1007/s00010-010-0054-x

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