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On a special functional equation. - MaRDI portal

On a special functional equation. (Q5921980)

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scientific article; zbMATH DE number 2506878
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On a special functional equation.
scientific article; zbMATH DE number 2506878

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    On a special functional equation. (English)
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    1940
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    Asymptotische Formeln für die Lösungen der Funktionalgleichung \[ f(z + \omega) - f(z) = \omega f (qz), \quad \omega \neq 0, \quad 0 < q < 1. \] Z. B. log \(f(z) \sim (\log\, z)^2 \left(2\, \log\, \dfrac 1q\right)^{-1}\).
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