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Geometrically convex solutions of a generalized gamma functional equation

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Publication:2354652
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DOI10.1007/s00010-014-0292-4zbMath1328.39035OpenAlexW2063922110MaRDI QIDQ2354652

Kaizhong Guan

Publication date: 20 July 2015

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

Full work available at URL: https://doi.org/10.1007/s00010-014-0292-4


zbMATH Keywords

gamma functioneventually geometrically convex function


Mathematics Subject Classification ID

Functional equations for real functions (39B22) Gamma, beta and polygamma functions (33B15) Convexity of real functions in one variable, generalizations (26A51)





Cites Work

  • Log-convex solutions to the functional equation \(f(x+1)=g(x)f(x):\Gamma\)-type functions
  • Geometrically convex solutions of certain difference equations and generalized Bohr-Mollerup type theorems
  • Subvex Functions and Bohr's Uniqueness Theorem
  • Bemerkungen zur Differenzengleichung g (x + 1) − g(x) = φ (x). Helmut Hasse zum 50. Geburtstag
  • Bemerkungen zur Differenzengleichung g(x + 1) – g(x) = φ (x). II
  • Convex functions and their applications. A contemporary approach
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