A class of hypertranscendental functions

DOI10.1007/BF01836423zbMath0384.10014OpenAlexW4251115749MaRDI QIDQ1248542

John H. Loxton, Alfred J. van der Poorten

Publication date: 1977

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

Full work available at URL: https://eudml.org/doc/136679

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Transcendence (general theory) (11J81) Functional equations and inequalities (39B99)

Related Items (20)

Guided by Schwarz’ Functions: A Walk Through the Garden of Mahler’s Transcendence Method ⋮ Algebraic Independence of Sums of Reciprocals of the Fibonacci Numbers ⋮ Walks confined in a quadrant are not always D-finite ⋮ Algebraic independence of Mahler functions and their values ⋮ Some results on hypertranscendental meromorphic functions ⋮ Algebraic independence results for the values of certain Mahler functions and their application to infinite products ⋮ Algebraic independence results related to pattern sequences in distinct \(\langle q,r \rangle\)-numeration systems ⋮ Pattern sequences in \(\langle q,r\rangle\)-numeration systems ⋮ On algebraic functions satisfying a class of functional equations ⋮ The solution of a version of a Mahler's question ⋮ Unnamed Item ⋮ Arithmetic properties of solutions of certain functional equations with transformations represented by matrices including a negative entry ⋮ Life and Mathematics of Alfred Jacobus van der Poorten (1942–2010) ⋮ ALGEBRAIC INDEPENDENCE OF CERTAIN MAHLER FUNCTIONS AND OF THEIR VALUES ⋮ A note on differentially algebraic solutions of first order linear difference equations ⋮ A survey on the hypertranscendence of the solutions of the Schröder's, Böttcher's and Abel's equations ⋮ Algebraic independence of the power series defined by blocks of digits ⋮ Algebraic function solutions of a certain class of functional equations ⋮ Quadratically converging rational mean iterations ⋮ Transcendency of local conjugacies in complex dynamics and transcendency of their values

Cites Work

• On algebraic functions satisfying a class of functional equations
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• Unnamed Item

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