Generalized orthogonality and continued fractions

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dc.creatorIsmail, Mourad E. H.
dc.creatorMasson, David R.
dc.date1994-07-20
dc.date.accessioned2026-07-07T09:15:09Z
dc.date.available2026-07-07T09:15:09Z
dc.descriptionThe connection between continued fractions and orthogonality which is familiar for $J$-fractions and $T$-fractions is extended to what we call $R$-fractions of type I and II. These continued fractions are associated with recurrence relations that correspond to multipoint rational interpolants. A Favard type theorem is proved for each type. We then study explicit models which lead to biorthogonal rational functions.
dc.identifierhttps://arxiv.org/abs/math/9407213
dc.identifierhttp://arxiv.org/abs/math/9407213
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152923
dc.subjectClassical Analysis and ODEs
dc.titleGeneralized orthogonality and continued fractions
dc.typetext

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