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arXiv · 2312.14989

Nearest neighbor recurrence relations for Meixner-Angelesco multiple orthogonal polynomials of the second kind

Jorge Arvesú Carballo·Alejandro J. Quintero Roba
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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 analogues 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.

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Jorge Arvesú Carballo, Alejandro J. Quintero Roba. 2023-12-22. Nearest neighbor recurrence relations for Meixner-Angelesco multiple orthogonal polynomials of the second kind. https://arxiv.org/abs/2312.14989

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