Nearest Neighbor Recurrence Relations for Meixner-Angelesco Multiple Orthogonal Polynomials of the Second Kind Articles uri icon

publication date

  • December 2023

start page

  • 1

end page

  • 19

issue

  • 1,62

volume

  • 12

International Standard Serial Number (ISSN)

  • 2227-7390

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.

subjects

  • Mathematics

keywords

  • angelesco polynomials; classical orthogonal polynomials; discrete orthogonal polynomials; multiple orthogonal polynomials; meixner polynomials; rodrigues-type formula; recurrence relations