Let f(x) be a real entire function of the form f(x) = sum_(k = 0)^∞ γ_k x^k/(k!), where the γ_ks are positive and satisfy Turán's inequalities γ_k^2 - γ_(k - 1) γ_(k + 1)>=0 for k = 1, 2, .... The Jensen polynomial g(t) associated with f(x) is then given by g_n(t) = sum_(k = 0)^n(n k) γ_k t^k, where (a b) is a binomial coefficient.