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- W2045554144 abstract "The present work aims to determine the solution f : R 2 → R of the equation f ( u x − v y , u y − v x ) = f ( x , y ) + f ( u , v ) + f ( x , y ) f ( u , v ) for all x , y , u , v ∈ R without any regularity assumption. The solution of the functional equation f ( u x + v y , u y − v x ) = f ( x , y ) + f ( u , v ) + f ( x , y ) f ( u , v ) is also determined. The methods of solution of these equations are simple and elementary. These two equations arise in connection with the characterizations of determinant and permanent of two-by-two symmetric matrices, respectively." @default.
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- W2045554144 date "2008-09-01" @default.
- W2045554144 modified "2023-10-14" @default.
- W2045554144 title "On two functional equations and their solutions" @default.
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- W2045554144 doi "https://doi.org/10.1016/j.aml.2007.10.012" @default.
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