Differentially Transcendental Functions

Details Differentially Transcendental Functions Differentially Transcendental Functions

2004-12-17

arxiv.org/abs/math/0412354v5

The Bulletin of the Belgian Mathematical Society - Simon Stevin, Vol. 15, No. 2 (2008)

Mathematics

General Mathematics

Scientific paper

The aim of this paper is to exhibit a method for proving that certain analytic functions are not solutions of algebraic differential equations. The method is based on model-theoretic properties of differential fields and properties of certain known transcendental differential functions, as of $\Gamma(x)$. Furthermore, it also determines differential transcendency of solution of some functional equations.

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