Romanovski polynomials in selected physics problems
type: Article
doi: 10.2478/s11534-007-0018-5
accesstype: All Open Access, Green
type: Entity
page end: 284
type: Information Content Entity
has funding vehicle: Consejo Nacional de Ciencia y Tecnología, CONACYT: C01-39820
type: Continuant
has publication venue: Central European Journal of Physics
type: Generically Dependent Continuant
related by: authorship_45355
volume: 5
issue: 3
most specific type: Document
most specific type: Review
abstract: We briefly review the five possible real polynomial solutions of hypergeometric differential equations. Three of them are the well known classical orthogonal polynomials, but the other two are different with respect to their orthogonality properties. We then focus on the family of polynomials which exhibits a finite orthogonality. This family, to be referred to as the Romanovski polynomials, is required in exact solutions of several physics problems ranging from quantum mechanics and quark physics to random matrix theory. It appears timely to draw attention to it by the present study. Our survey also includes several new observations on the orthogonality properties of the Romanovski polynomials and new developments from their Rodrigues formula. © Versita Warsaw and Springer-Verlag Berlin Heidelberg 2007.
related by: authorship_45357
type: Document
estado: published
origen: scopus
page start: 253
related by: authorship_45354
type: Thing
crisid: 6968
type: Review
freetext keyword: Orthogonality; Romanovski polynomials; Rosen-Morse potential and random matrices; Scarf potential
e iscopus: 2-s2.0-34347400886
related by: authorship_45356
date time value: review date 6968

Document
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Central European Journal of Physics
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type: Continuant
type: Thing
type: Information Content Entity
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type: Document
type: Periodical
type: Generically Dependent Continuant
publication venue for: Romanovski polynomials in selected physics problems
type: Journal

Continuant
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Entity
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Review
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Generically Dependent Continuant
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date: 2026-08-27T07:30:19
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Article
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Consejo Nacional de Ciencia y Tecnología, CONACYT: C01-39820
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type: Grant
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funding vehicle for: Romanovski polynomials in selected physics problems