Alienation of the logarithmic and exponential functional equations
نویسندگان
چکیده
منابع مشابه
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The functional equation f(y − x) − g(xy) = h (1/x− 1/y) is solved for general solution. The result is then applied to show that the three functional equations f(xy) = f(x)+f(y), f(y−x)−f(xy) = f(1/x−1/y) and f(y−x)−f(x)−f(y) = f(1/x−1/y) are equivalent. Finally, twice differentiable solution functions of the functional equation f(y − x) − g1(x) − g2(y) = h (1/x− 1/y) are determined.
متن کاملA Note on Exponential-logarithmic and Logarithmic-exponential Series
We explain how the field of logarithmic-exponential series constructed in [DMM1] and [DMM2] embeds as an exponential field in any field of exponential-logarithmic series (constructed in [KK1], [K] and [KS]). On the other hand, we explain why no field of exponential-logarithmic series embeds in the field of logarithmic-exponential series. This clarifies why the two constructions are intrinsicall...
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ژورنال
عنوان ژورنال: Aequationes mathematicae
سال: 2015
ISSN: 0001-9054,1420-8903
DOI: 10.1007/s00010-015-0362-2