abstract In the framework of the theory of semiclassical linear functionals in this contribution, we deal with thesequence of orthogonal polynomials associated with the linear functional ⟨L, p⟩ = ∫₀∞p(x)e^(-x²) dx,
keywords maxwell linear functional; stieltjes function; pearson equation; ladder operators; laguerre-freud equations, electrostatic interpretation; painlev