Abstract
In this paper, we shall prove, for any $m\geq 1$, the existence of an uncountable subset of $U$-numbers of type $\leq m$ (which we called the set of \textit{$m$-ultra numbers}) for which there exists uncountably many transcendental analytic functions mapping it into Liouville numbers.
Citation
Diego Marques. Josimar Ramirez. "On transcendental analytic functions mapping an uncountable class of $U$-numbers into Liouville numbers." Proc. Japan Acad. Ser. A Math. Sci. 91 (2) 25 - 28, February 2015. https://doi.org/10.3792/pjaa.91.25
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