  A recent result of S.-Y. Lee and M. Yang states that the planar orthogonal
polynomials orthogonal with respect to a modified Gaussian measure are multiple
orthogonal polynomials of type II on a contour in the complex plane. We show
that the same polynomials are also type I orthogonal polynomials on a contour,
provided the exponents in the weight are integer. From this orthogonality, we
derive several equivalent Riemann-Hilbert problems. The proof is based on the
fundamental identity of Lee and Yang, which we establish using a new technique.
