Перегляд за автором "Filipuk, G."

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  • Non-Schlesinger Isomonodromic Deformations of Fuchsian Systems and Middle Convolution 
    Bibilo, Y.; Filipuk, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The paper is devoted to non-Schlesinger isomonodromic deformations for resonant Fuchsian systems. There are very few explicit examples of such deformations in the literature. In this paper we construct a new example of the ...
  • On Certain Wronskians of Multiple Orthogonal Polynomials 
    Zhang, L.; Filipuk, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We consider determinants of Wronskian type whose entries are multiple orthogonal polynomials associated with a path connecting two multi-indices. By assuming that the weight functions form an algebraic Chebyshev (AT) system, ...
  • Recurrence Coefficients of a New Generalization of the Meixner Polynomials 
    Filipuk, G.; Van Assche, W. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We investigate new generalizations of the Meixner polynomials on the lattice N, on the shifted lattice N+1−β and on the bi-lattice N∪(N+1−β). We show that the coefficients of the three-term recurrence relation for the ...