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Nearest Neighbor Recurrence Relations for Meixner–Angelesco Multiple Orthogonal Polynomials of the Second Kind

Author

Listed:
  • Jorge Arvesú

    (Department of Mathematics, Universidad Carlos III de Madrid, Avda. de la Universidad, 30, 28911 Madrid, Spain)

  • Alejandro J. Quintero Roba

    (Department of Mathematics, Baylor University, 1410 S 4th St, Waco, TX 76706, USA)

Abstract

This paper studies a new family of Angelesco multiple orthogonal polynomials with shared orthogonality conditions with respect to a system of weight functions, which are complex analogs of Pascal distributions on a legged star-like set. The emphasis is placed on the algebraic properties, such as the raising operators, the Rodrigues-type formula, the explicit expression of the polynomials, and the nearest neighbor recurrence relations.

Suggested Citation

  • Jorge Arvesú & Alejandro J. Quintero Roba, 2023. "Nearest Neighbor Recurrence Relations for Meixner–Angelesco Multiple Orthogonal Polynomials of the Second Kind," Mathematics, MDPI, vol. 12(1), pages 1-19, December.
    • Handle: RePEc:gam:jmathe:v:12:y:2023:i:1:p:62-:d:1306689
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