Summary
We consider the problem when a scalar function ofn variables can be represented in the form of a determinant det(f i (x j )), the so-called Casorati determinant off 1,f 2,⋯,f n . The result is applied to the solution of some functional equations with unknown functionsH of two variables that involve determinants det(H(x i ,x j )).
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Šimša, J. A note on certain functional determinants. Aeq. Math. 44, 35–41 (1992). https://doi.org/10.1007/BF01834202
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DOI: https://doi.org/10.1007/BF01834202