Differentially transcendental functions
Mijajlović, Žarko ; Malešević, Branko
Bull. Belg. Math. Soc. Simon Stevin, Tome 15 (2008) no. 1, p. 193-201 / Harvested from Project Euclid
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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.
Publié le : 2008-05-15
Classification:  
@article{1210254818,
     author = {Mijajlovi\'c, \v Zarko and Male\v sevi\'c, Branko},
     title = {Differentially transcendental functions},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {15},
     number = {1},
     year = {2008},
     pages = { 193-201},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1210254818}
}

Mijajlović, Žarko; Malešević, Branko. Differentially transcendental functions. Bull. Belg. Math. Soc. Simon Stevin, Tome 15 (2008) no. 1, pp.  193-201. http://gdmltest.u-ga.fr/item/1210254818/