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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/10037
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dc.contributor.authorBehera K.K.-
dc.contributor.authorSwaminathan, Anbhu-
dc.date.accessioned2020-10-15T12:04:51Z-
dc.date.available2020-10-15T12:04:51Z-
dc.date.issued2019-
dc.identifier.citationProceedings of the American Mathematical Society (2019), 147(7): 3061-3073-
dc.identifier.issn29939-
dc.identifier.urihttps://doi.org/10.1090/proc/14443-
dc.identifier.urihttp://repository.iitr.ac.in/handle/123456789/10037-
dc.description.abstractIn this work, a sequence of orthonormal rational functions leading to recurrence relations of RII-type is constructed. This sequence is proved to be biorthogonal to another sequence of rational functions as well. Two illustrations of such recurrence relations of RII-type, one through the associated linear pencil matrix leading to the-1 little Jacobi polynomials and the other through the bilinear transformation yielding the Bannai-Ito polynomials, which are orthogonal on the real line are exhibited. © 2019 American Mathematical Society.-
dc.language.isoen_US-
dc.publisherAmerican Mathematical Society-
dc.relation.ispartofProceedings of the American Mathematical Society-
dc.subjectBiorthogonality-
dc.subjectChristoffel-type transform-
dc.subjectGeneralized eigenvalue problem-
dc.subjectOrthogonal rational functions-
dc.subjectRational approximation-
dc.subjectTridiagonal matrices-
dc.titleBiorthogonal rational functions of RII-type-
dc.typeArticle-
dc.scopusid57190970290-
dc.scopusid55209564300-
dc.affiliationBehera, K.K., DEPARTMENT OF MATHEMATICS, INDIAN INSTITUTE OF TECHNOLOGY, ROORKEE, UTTARAKHAND 247667, India-
dc.affiliationSwaminathan, A., DEPARTMENT OF MATHEMATICS, INDIAN INSTITUTE OF TECHNOLOGY, ROORKEE, UTTARAKHAND 247667, India-
Appears in Collections:Journal Publications [MA]

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