Summary
We consider the functional equationϕ(x + y) − ϕ(x) − ϕ(y) = f(x)f(y)h(x + y) and we find all its homomorphic solutionsf, h, ϕ defined in a neighbourhood of the origin.
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Paganoni, L., Marzegalli, S.P. Holomorphic solutions of an inhomogeneous Cauchy equation. Aeq. Math. 37, 179–200 (1989). https://doi.org/10.1007/BF01836443
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DOI: https://doi.org/10.1007/BF01836443