Hypertranscendency of first order Mahler functions

DOI10.1016/J.CRMA.2011.08.021zbMath1268.12004OpenAlexW2044950452MaRDI QIDQ640884

Pierre Nguyen

Publication date: 21 October 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2011.08.021

zbMATH Keywords

difference algebradifference Galois theoryMahler functionshypertranscendency

Mathematics Subject Classification ID

General theory of difference equations (39A05) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15) Difference algebra (12H10)

Related Items (3)

Calculating differential Galois groups of parametrized differential equations, with applications to hypertranscendence ⋮ Frobenius method for Mahler equations ⋮ A survey on the hypertranscendence of the solutions of the Schröder's, Böttcher's and Abel's equations

Cites Work

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• A note on differentially algebraic solutions of first order linear difference equations
• Tannakian approach to linear differential algebraic groups.
• On the algebraic independence of holomorphic solutions of certain functional equations and their values
• Hypertranscendency of meromorphic solutions of a linear functional equation
• Galois theory of difference equations
• Unipotent radicals of differential Galois group and integrals of solutions of inhomogeneous equations

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