Differentially Transcendental Functions
General Mathematics
2008-04-15 v5 Logic
Abstract
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 . Furthermore, it also determines differential transcendency of solution of some functional equations.
Cite
@article{arxiv.math/0412354,
title = {Differentially Transcendental Functions},
author = {Zarko Mijajlovic and Branko Malesevic},
journal= {arXiv preprint arXiv:math/0412354},
year = {2008}
}