2013•Journal of Inequalities and ApplicationsOpen access

On some power series with algebraic coefficients and Liouville numbers

Gül Karadeniz Gözeri

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Abstract

In this work, we consider some power series with algebraic coefficients from a certain algebraic number field K of degree m and investigate transcendence of the values of the given series for some Liouville number arguments.

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In this work, we consider some power series with algebraic coefficients from a certain algebraic number field K of degree m and investigate transcendence of the values of the given series for some Liouville number arguments.

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Available abstract

In this work, we consider some power series with algebraic coefficients from a certain algebraic number field K of degree m and investigate transcendence of the values of the given series for some Liouville number arguments.

Key concepts: Mathematics, Power series, Algebraic number, Series (stratigraphy), Formal power series, Field (mathematics), Transcendence (philosophy), Pure mathematics

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