Stationary reduction method based on nonisospectral deformation of orthogonal polynomials, and discrete Painlevé-type equations

In this work, we propose a new approach called ``stationary reduction method based on nonisospectral deformation of orthogonal polynomials" for deriving discrete Painlevé-type (d-P-type) equations. We apply this approach to (bi)orthogonal polynomials satisfying ordinary orthogonality, $(1,m)$-biorth