Jacobi-Sobolev-type orthogonal polynomials: holonomic equation and electrostatic interpretation - a non-diagonal case

Consider the Sobolev-type inner product, where p and q are polynomials with real coefficients, α, β > -1, ℙ(x) = (p(x), p′(x))^t, and, is a positive semidefinite matrix, with M_0,M₁≥0, and λ ∈ ℝ. We obtain an expression for the family of polynomials, orthogonal with respect to the above inner product, a connection formula that relates with some family of Jacobi polynomials and the holonomic equation that they satisfy, as well as an electrostatic interpretation of their zeros.