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The relationship between semi-classical Laguerre polynomials and the fourth Painleve equation
We discuss the relationship between the recurrence coefficients of orthogonal polynomials with respect to a semiclassical
Laguerre weight and classical solutions of the fourth Painlev´e equation. We show that the coefficients in
these recurrence relations can be expressed in terms of Wronskians of parabolic cylinder functions which arise in the
description of special function solutions of the fourth Painlev´e equation.