On Heuvers’ Logarithmic Functional Equation |
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| Authors: | Bruce R Ebanks |
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| Institution: | 1. Department of Mathematics & Statistics, Mississippi State University, P.O. Box MA, Mississippi State, MS, 39762, USA
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| Abstract: | ?(x + y) - ?(x) - ?(y) = ?(x ?1 + y ?l) are identical to those of the Cauchy equation ?(xy) = ?(x) + ?(y) when ? is a function from the positive real numbers into the reals. In the present article, we prove this equivalence for functions mapping the set of nonzero elements of a field (excluding ?2) . |
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