Geodesic
Solutions of a functional equation concerning with trilinear differential operators
Dalʹnevostočnyj matematičeskij žurnal, Tome 16 (2016) no. 2, pp. 169-180

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We solve the functional equation $$ f(x+z)f(y+z)f(x+y-z) = \sum_{j=1}^m \phi_j(x,y)\psi_j(z) $$ for $m\le 5$. 
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     author = {A. A. Illarionov},
     title = {Solutions of a functional equation concerning with trilinear differential operators},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
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     publisher = {mathdoc},
     volume = {16},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2016_16_2_a5/}
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A. A. Illarionov. Solutions of a functional equation concerning with trilinear differential operators. Dalʹnevostočnyj matematičeskij žurnal, Tome 16 (2016) no. 2, pp. 169-180. http://geodesic.mathdoc.fr/item/DVMG_2016_16_2_a5/