Chihara–Ismail polynomials (original) (raw)
In mathematics, the Chihara–Ismail polynomials are a family of orthogonal polynomials introduced by Chihara and Ismail, generalizing the van Doorn polynomials introduced by and the Karlin–McGregor polynomials. They have a rather unusual measure, which is discrete except for a single limit point at 0 with jump 0, and is non-symmetric, but whose support has an infinite number of both positive and negative points.
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| dbo:abstract | In mathematics, the Chihara–Ismail polynomials are a family of orthogonal polynomials introduced by Chihara and Ismail, generalizing the van Doorn polynomials introduced by and the Karlin–McGregor polynomials. They have a rather unusual measure, which is discrete except for a single limit point at 0 with jump 0, and is non-symmetric, but whose support has an infinite number of both positive and negative points. (en) Dalam matematika, Polinomial Chihara–Ismail adalah keluarga polinomial ortogonal yang diperkenalkan oleh and. Polinomial ini merupakan generalisasi dari Polinomial van Doorn (yang diperkenalkan oleh) dan polinomial Karlin–McGregor. Polinomial ini memiliki pengukuran yang agak tidak biasa, yaitu berupa diskrit kecuali untuk satu titik batas pada 0 dengan melompati 0, dan bersifat non-simetris, tetapi memiliki jumlah yang tak terbatas pada poin positif dan negatif. (in) |
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| dbo:wikiPageWikiLink | dbr:Measure_(mathematics) dbr:Discrete_measure dbc:Orthogonal_polynomials dbr:Orthogonal_polynomials dbr:Limit_point dbr:Karlin–McGregor_polynomials |
| dbp:author1Link | Theodore Seio Chihara (en) |
| dbp:author2Link | Mourad Ismail (en) |
| dbp:last | Ismail (en) Chihara (en) |
| dbp:wikiPageUsesTemplate | dbt:Citation dbt:Harvtxt dbt:Harvs dbt:Math-stub |
| dbp:year | 1982 (xsd:integer) |
| dcterms:subject | dbc:Orthogonal_polynomials |
| gold:hypernym | dbr:Family |
| rdf:type | yago:WikicatOrthogonalPolynomials yago:Abstraction100002137 yago:Function113783816 yago:MathematicalRelation113783581 yago:Polynomial105861855 yago:Relation100031921 |
| rdfs:comment | In mathematics, the Chihara–Ismail polynomials are a family of orthogonal polynomials introduced by Chihara and Ismail, generalizing the van Doorn polynomials introduced by and the Karlin–McGregor polynomials. They have a rather unusual measure, which is discrete except for a single limit point at 0 with jump 0, and is non-symmetric, but whose support has an infinite number of both positive and negative points. (en) Dalam matematika, Polinomial Chihara–Ismail adalah keluarga polinomial ortogonal yang diperkenalkan oleh and. Polinomial ini merupakan generalisasi dari Polinomial van Doorn (yang diperkenalkan oleh) dan polinomial Karlin–McGregor. Polinomial ini memiliki pengukuran yang agak tidak biasa, yaitu berupa diskrit kecuali untuk satu titik batas pada 0 dengan melompati 0, dan bersifat non-simetris, tetapi memiliki jumlah yang tak terbatas pada poin positif dan negatif. (in) |
| rdfs:label | Chihara–Ismail polynomials (en) Polinomial Chihara–Ismail (in) |
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