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Journals / Hacettepe Journal of Mathematics and Statistics / 2011 / Cilt: 40 - Sayı: 5

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

Gülcan KEKEÇ
Pages
691–702
Publication Date
2011-05-01
DOI
—
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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.

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Objective & Hypothesis: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.
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Key Findings & Data: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.
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Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Generalized lacunary power series · U-numbers in Mahler’s classification

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.

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Cite This Article

KEKEÇ, G. (2011). ON THE VALUES OF SOME GENERALIZED LACUNARY POWER SERIES WITH ALGEBRAIC COEFFICIENTS FOR LIOUVILLE NUMBER ARGUMENTS. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 5, 691–702. https://ajindex.com/articles/669690

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