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Multiple orthogonal polynomials associated with confluent hypergeometric functions

Lima, Hélder, Loureiro, Ana (2020) Multiple orthogonal polynomials associated with confluent hypergeometric functions. Journal of Approximation Theory, . ISSN 0021-9045. (In press) (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided) (KAR id:82879)

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Abstract

We introduce and analyse a new family of multiple orthogonal polynomials of hypergeometric type with respect to two measures supported on the positive real line which can be described in terms

for the 2-orthogonal polynomials under discussion correspond to the cubic components of the already known threefold symmetric Hahn-classical multiple orthogonal polynomials on star-like sets.

Item Type: Article
Uncontrolled keywords: Multiple orthogonal polynomials, confluent hypergeometric function, Nikishin system, Rodrigues formula, generalised hypergeometric series, 2-orthogonal polynomials, Hahn-classical, 3-fold symmetric.
Subjects: Q Science > QA Mathematics (inc Computing science) > QA299 Analysis, Calculus
Q Science > QA Mathematics (inc Computing science) > QA351 Special functions
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Ana F. Loureiro
Date Deposited: 12 Sep 2020 15:34 UTC
Last Modified: 14 Sep 2020 10:36 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/82879 (The current URI for this page, for reference purposes)
Loureiro, Ana: https://orcid.org/0000-0002-4137-8822
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