A note on differentially algebraic solutions of first order linear difference equations

DOI10.1007/BF02192657zbMath0542.12012MaRDI QIDQ795101

Keiji Nishioka

Publication date: 1984

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137010

zbMATH Keywords

algebraic differential equationGamma functionfirst order linear difference equationADEdifferential-difference field

Mathematics Subject Classification ID

Differential algebra (12H05) Difference algebra (12H10)

Related Items (10)

Guided by Schwarz’ Functions: A Walk Through the Garden of Mahler’s Transcendence Method ⋮ Calculating differential Galois groups of parametrized differential equations, with applications to hypertranscendence ⋮ TRANSCENDENCE AND ALGEBRAIC INDEPENDENCE OF SERIES RELATED TO STERN'S SEQUENCE ⋮ Hypertranscendency of first order Mahler functions ⋮ Algebraic independence of the generating functions of Stern's sequence and of its twist ⋮ Difference Algebra ⋮ ALGEBRAIC INDEPENDENCE OF CERTAIN MAHLER FUNCTIONS AND OF THEIR VALUES ⋮ A survey on the hypertranscendence of the solutions of the Schröder's, Böttcher's and Abel's equations ⋮ On certain Mahler functions ⋮ Hypertranscendence and linear difference equations

Cites Work

• A class of hypertranscendental functions

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