Abstract

This work aims to determine all functions \({f, g, h, k : G \to \mathbb{C}}\) that satisfy the functional equation f(pr, qs) + g(ps, qr) = h(p,q) + k(r,s) for all p, q, r, s ∈G, where G is a group and \({\mathbb{C}}\) is the field of complex numbers.

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