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KIAM Preprint № 218, Moscow, 2018
Authors: Dyachenko A.V., Lysov V.G.
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
Russian source text:
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About authors:
  • Dyachenko Alexander Viktorovich,  KIAM RAS; Moscow Institute of Physics and Technology
  • Lysov Vladimir Genrikhovich,  KIAM RAS; Moscow Institute of Physics and Technology