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

Jorge Arvesú () and Alejandro J. Quintero Roba
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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

Mathematics, 2023, vol. 12, issue 1, 1-19

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.

Keywords: Angelesco polynomials; classical orthogonal polynomials; discrete orthogonal polynomials; multiple orthogonal polynomials; Meixner polynomials; Rodrigues-type formula; recurrence relations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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