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We are interested in this paper in the family of curves M (p, k, r, n), solutions of equation z n = αz k + (1 − α), where z is a complex variable, n, k, p and r are nonzero integers and α is a real number greater than 1. Expressing each of these curves in polar coordinates (ρ, θ), we will prove that ρ (θ) is an increasing function.

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