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May 2008 Differentially transcendental functions
Branko Malešević, Žarko Mijajlović
Bull. Belg. Math. Soc. Simon Stevin 15(2): 193-201 (May 2008). DOI: 10.36045/bbms/1210254818

Abstract

The aim of this article 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 transcendence of solution of some functional equations.

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Branko Malešević. Žarko Mijajlović. "Differentially transcendental functions." Bull. Belg. Math. Soc. Simon Stevin 15 (2) 193 - 201, May 2008. https://doi.org/10.36045/bbms/1210254818

Information

Published: May 2008
First available in Project Euclid: 8 May 2008

zbMATH: 1184.12002
MathSciNet: MR2424106
Digital Object Identifier: 10.36045/bbms/1210254818

Rights: Copyright © 2008 The Belgian Mathematical Society

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Vol.15 • No. 2 • May 2008
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