ON THE VALUES OF SOME GENERALIZED LACUNARY POWER SERIES WITH ALGEBRAIC COEFFICIENTS FOR LIOUVILLE NUMBER ARGUMENTS
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.40, no.5, pp.691-702, 2011 (SCI-Expanded, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 40 Issue: 5
- Publication Date: 2011
- Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Page Numbers: pp.691-702
- Istanbul University Affiliated: Yes
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 Lionville number arguments belong to either the algebraic number field K or boolean OR(m)(i=1) U(i) Mahler's classification of the complex numbers.