On polynomials of multiple discrete orthogonality on lattices with shift
Abstract:
We introduce new class of polynomials of multiple orthogonality with respect to the product of r classical discrete weights on integer lattices with shifts. We found explicit representations in the form of Rodrigues formulas. The case of r = 2 weights is described in detail.
Keywords:
classical orthogonal polynomials of a discrete variable, multiple orthogonality, Pearson equation, Rodrigues formula
Publication language:russian, pages:24
Research direction:
Mathematical problems and theory of numerical methods
