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1963•Proceedings of the American Mathematical SocietyOpen access

A simple example of a transcendental entire function that together with all its derivatives assumes algebraic values at all algebraic points

Daihachiro Sato

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Abstract

The purpose of this department is to publish very short papers of an unusually elegant and polished character, for which there is normally no other outlet.

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The purpose of this department is to publish very short papers of an unusually elegant and polished character, for which there is normally no other outlet.

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The purpose of this department is to publish very short papers of an unusually elegant and polished character, for which there is normally no other outlet.

Key concepts: Mathematics, Algebraic number, Algebraic element, Transcendental number, Countable set, Transcendental function, Algebraic extension, Algebraic function

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A simple example of a transcendental entire function that together with all its derivatives assumes algebraic values at all algebraic points — Research Paper | ScholarLens