Transcendence of solutions of q-Airy equation.

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  • Representation Theory and Differential Equations : Proceedings of JMM Workshop on Representation Theory and Differential Equations,November 26-27,2016 Josai University

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In this paper, we prove transcendence of solutions of the iterated Riccati equations associated with q-Airy equation when q is not a root of unity. The same result is obtained for a certain q-Bessel equation. Previously,we studied them under a stronger assumption that q is a transcendental number.



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