Values of arbitrary Mahler Mq-functions at nonzero algebraic points obey a Liouville-type inequality and therefore cannot be Liouville numbers or U-numbers.
Shallit, Number theory and formal languages , in Emerging applications of number theory, IMA Volumes (Springer, Berlin, 1999), 547–570
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A Liouville-Type Inequality for Values of Mahler M-Functions
Values of arbitrary Mahler Mq-functions at nonzero algebraic points obey a Liouville-type inequality and therefore cannot be Liouville numbers or U-numbers.