Differentially transcendental functions

zbMath1184.12002arXivmath/0412354MaRDI QIDQ935547

Žarko Mijajlović, Branko J. Malešević

Publication date: 11 August 2008

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0412354

zbMATH Keywords

analytic functionsdifferential transcendence of solutions of functional equationsdifferentially transcendental functionsnot solutions of algebraic differential equations

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Differential algebra (12H05) Abstract differential equations (12H20) Model theory of fields (12L12)

Related Items (6)

Algebraic differential independence concerning the Euler \(\Gamma\)-function and Dirichlet series ⋮ On the differential and difference independence of \(\Gamma\) and \(\zeta\) ⋮ A note about \(\{K_i(z)\}^\infty_{i=1}\) functions ⋮ Differential transcendency in the theory of linear differential systems with constant coefficients ⋮ Unnamed Item ⋮ Differential transcendence of solutions of systems of linear differential equations based on total reduction of the system

This page was built for publication: Differentially transcendental functions