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Articles

Two finite hypergeometric sequences of discrete orthogonal polynomials

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Pages 1429-1443 | Received 30 Mar 2018, Accepted 12 Jun 2018, Published online: 01 Aug 2018
 

ABSTRACT

Two finite hypergeometric sequences of symmetric orthogonal polynomials of a discrete variable are introduced and their standard properties, such as second-order difference equations, explicit forms of the polynomials and three term recurrence relations are obtained. As a consequence of two specific Sturm–Liouville problems, it is proved that these polynomials are finitely orthogonal with respect to two symmetric weight functions.

2010 MATHEMATICS SUBJECT CLASSIFICATIONS:

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work has been supported by a grant from ‘Alexander von Humboldt-Stiftung Foundation’ No. Ref 3.4 – IRN – 1128637 – GF-E.

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