The gamma function as continuous solution of a system of Gauss functional equations

DOI10.1007/BF03323053zbMath0831.39011OpenAlexW2002838208MaRDI QIDQ1895195

Hans-Heinrich Kairies

Publication date: 20 February 1996

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03323053

zbMATH Keywords

gamma functioncounterexamplesmultiplication formulaGauss functional equation

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Gamma, beta and polygamma functions (33B15) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (3)

Functional equations for peculiar functions ⋮ On the stability of gamma functional equation ⋮ Arithmetical sequences and systems of functional equations

Cites Work

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• Trigonometrische Reihen über multiplikativen Zahlenmengen
• Continuous replicative functions
• Zur Gaußschen Funktionalgleichung für die Gamma-Funktion auf multiplikativen Zahlenmengen
• On the optimality of a characterization theorem for the gamma function using the multiplication formula
• Trigonometrische Reihen Über Multiplikativen Zahlenmengen. II
• Zur Charakterisierung der Gamma-Funktion.
• Zur axiomatischen Charakterisierung der Gammafunktion.

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