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arxiv: 1603.02086 · v1 · pith:FAV4OPDCnew · submitted 2016-03-07 · 🧮 math.CA

Homogeneous Beta-type functions

classification 🧮 math.CA
keywords beta-typefunctionsharmonichomogeneousmeanresultapplyingcauchy
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All beta-type functions, which are p-homogeneous, are determined. Applying this result, we show that a beta-type function is a homogeneous mean iff it is the harmonic one. A reformulation of a result due to Heuvers in terms of a Cauchy difference and the harmonic mean is given.

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