ON THE OF SOME GENERALIZED LACUNARY POWER SERIES WITH ALGEBRAIC COEFFICIENTS FOR LIOUVILLE NUMBER ARGUMENTS

Authors : Gülcan KEKEÇ

Pages : 691-702

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Publication Date : 2011-05-01

Article Type : Research Paper

Abstract :In this work, it is shown that under certain conditions, the values of some generalized lacunary power series with algebraic coefficients from a certain algebraic number field K of degree m for Liouville number arguments belong to either the algebraic number field K or Sm i=1 Ui in Mahler’s classification of the complex numbers.
Keywords : Generalized lacunary power series, U numbers in Mahlers classification