Far Eastern Mathematical Journal

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Solutions of a functional equation concerning with trilinear differential operators


Illarionov A.A.

2016, issue 2, Ñ. 169-180


Abstract
We solve the functional equation $$f(x+z)f(y+z)f(x+y-z)=\sum_{j=1}^m\phi_j(x,y)\psi_j(z)

Keywords:
functional equation, the Weierstrass sigma function, elliptic function, addition theorems, trilinear equations

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