Homogeneous Beta-type functions
Copyright policy )Homogeneous Beta-type functions
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.
beta-type function, mean, beta function, Functional equations for real functions, gamma function, homogeneity, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, pre-mean, functional equation, Gamma, beta and polygamma functions, Means
beta-type function, mean, beta function, Functional equations for real functions, gamma function, homogeneity, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, pre-mean, functional equation, Gamma, beta and polygamma functions, Means
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