Let θ be a Young function and consider the space F θ (C) of all entire functions with θ-exponential growth. In this paper, we are interested in the solutions f ∈ F θ (C) of the convolution equation T ⋆ f = 0, called mean-periodic functions, where T is in the topological dual of F θ (C). We show that each mean-periodic function can be represented in an explicit way as a convergent series of exponential polynomials.