English

Hypergeometric Expressions for Type I Jacobi-Pi\~neiro Orthogonal Polynomials with Arbitrary Number of Weights

Classical Analysis and ODEs 2023-10-30 v1

Abstract

For a general number p2p\geq 2 of measures, we provide explicit expressions for the Jacobi-Pi\~neiro and Laguerre of the first kind multiple orthogonal polynomials of type I, presented in terms of multiple hypergeometric functions.

Keywords

Cite

@article{arxiv.2310.18294,
  title  = {Hypergeometric Expressions for Type I Jacobi-Pi\~neiro Orthogonal Polynomials with Arbitrary Number of Weights},
  author = {Amílcar Branquinho and Juan EF Díaz and Ana Foulquié Moreno and Manuel Mañas},
  journal= {arXiv preprint arXiv:2310.18294},
  year   = {2023}
}