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

• Autores: Keijo Väänänen
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 114, Nº 2, 2014, págs. 254-263
• Idioma: inglés
• DOI: 10.7146/math.scand.a-17110
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• Resumen

  • 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.