Based on a characterization of logarithmic functions due to Heuvers we develop analogous results for multiplicative, exponential and additive functions, respectively.
@article{bwmeta1.element.doi-10_1515_amsil-2017-0001, author = {Martin Himmel}, title = {Complementary Results to Heuvers's Characterization of Logarithmic Functions}, journal = {Annales Mathematicae Silesianae}, volume = {31}, year = {2017}, pages = {99-106}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_amsil-2017-0001} }
Martin Himmel. Complementary Results to Heuvers’s Characterization of Logarithmic Functions. Annales Mathematicae Silesianae, Tome 31 (2017) pp. 99-106. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_amsil-2017-0001/