Abstract
We show connections between generalized versions of some conditional Cauchy equation and its basic form. As a consequence we obtain the solution of the generalized equations in some classes of regular functions.
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Balcerowski, M.: On the functional equation \(f(x+g(y))-f(y+g(y))=f(x)-f(y)\) on groups. Aequationes Math. 78, 247–255 (2009)
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Balcerowski, M. On a modification of some conditional Cauchy equation. Aequat. Math. 92, 201–209 (2018). https://doi.org/10.1007/s00010-017-0510-y
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DOI: https://doi.org/10.1007/s00010-017-0510-y