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On Shannon's entropy and a functional equation of Abel

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References

  1. N. H. Abel, Note sur la fonction\(\psi x = x + \frac{{x^2 }}{{2^2 }} + \frac{{x^3 }}{{3^2 }} \cdot \cdot \cdot + \frac{{x^n }}{{2^2 }} + \cdot \cdot \cdot \),Oeuvres complètes de Niels Henrik Abel, Nouvelle édition, Tome second, Grøndahl & Søn, Christiania, 1881, 189–193.

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  2. Z. Daróczy andH. Kiesewetter, Eine Funktionalgleichung von Abel und die Grundgleichung der Information,Period. Math. Hungar. 4 (1973), 25–28.MR 48 # 8107

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  3. Pl. Kannappan andC. T. Ng, Measurable solutions of functional equations related to information theory,Proc. Amer. Math. Soc. 38 (1973), 303–310.MR 47 # 672

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  4. D. G. Kendall, Functional equations in information theory,Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 2 (1964), 225–229.MR 29 # 3270

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  5. H. Kiesewetter, Struktur linearer Funktionalgleichungen im Zusammenhang mit dem Abelschen Theorem,J. Reine Angew. Math. 206 (1961), 113–171.MR 24 # A936.

    Google Scholar 

  6. P. M. Lee, On the axioms of information theory,Ann. Math. Statist. 35 (1964), 415–418.MR 28 # 1990

    Google Scholar 

  7. H. Tverberg, A new derivation of the information function,Math. Scand. 6 (1958), 297–298.MR 21 # 3691.

    Google Scholar 

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Kannappan, P. On Shannon's entropy and a functional equation of Abel. Period Math Hung 8, 41–44 (1977). https://doi.org/10.1007/BF02018045

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