On entire functions whose derivatives are integer-valued on geometric progressions

DOI10.1007/PL00005856zbMath0978.30019OpenAlexW1997112807MaRDI QIDQ1591395

Michael Welter

Publication date: 6 February 2002

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00005856

zbMATH Keywords

order of growthexample of an integer-valued entire function with small orderinteger-valued entire transcendental functionsJFM 55.0778.01theorem of Hermite-Lindemanntheorem of Pólya-Gelfondtranscendence of values of the exponential function

Mathematics Subject Classification ID

Transcendence (general theory) (11J81) Special classes of entire functions of one complex variable and growth estimates (30D15)

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The Gel'fond-Fridman theorem in positive characteristic ⋮ Entire functions having a concordant value sequence ⋮ Fonctions entières totales en caractéristique finie

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