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Fourth order partial differential equations for Krall-type orthogonal polynomials on the triangle

Fourth order partial differential equations for Krall-type orthogonal polynomials on the triangle

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_crossref_primary_10_1090_proc_14052

Fourth order partial differential equations for Krall-type orthogonal polynomials on the triangle

About this item

Full title

Fourth order partial differential equations for Krall-type orthogonal polynomials on the triangle

Publisher

Providence, Rhode Island: American Mathematical Society

Journal title

Proceedings of the American Mathematical Society, 2018-09, Vol.146 (9), p.3961-3974

Language

English

Formats

Publication information

Publisher

Providence, Rhode Island: American Mathematical Society

Subjects

More information

Scope and Contents

Contents

We construct bivariate polynomials orthogonal with respect to a Krall-type inner product on the triangle defined by adding Krall terms over the border and the vertexes to the classical inner product. We prove that these Krall-type orthogonal polynomials satisfy fourth order partial differential equations with polynomial coefficients, as an extensio...

Alternative Titles

Full title

Fourth order partial differential equations for Krall-type orthogonal polynomials on the triangle

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_crossref_primary_10_1090_proc_14052

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_crossref_primary_10_1090_proc_14052

Other Identifiers

ISSN

0002-9939

E-ISSN

1088-6826

DOI

10.1090/proc/14052

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