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Irrationality Measures of Numbers Related to Some $q$-Basic Hypergeometric Series

Keijo Väänänen

Abstract


We obtain rather good irrationality measures for numbers related to some $q$-basic hypergeometric series. The method uses Padé approximations combined with the iteration of the appropriate functional equation.

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DOI: http://dx.doi.org/10.7146/math.scand.a-17110

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ISSN 0025-5521 (print) ISSN 1903-1807 (online)

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