Romanovski polynomials in selected physics problems

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dc.creatorRaposo, A. P.
dc.creatorWeber, H. J.
dc.creatorAlvarez-Castillo, D.
dc.creatorKirchbach, M.
dc.date2007-06-26
dc.date.accessioned2026-07-07T08:13:03Z
dc.date.available2026-07-07T08:13:03Z
dc.descriptionWe 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.
dc.descriptionRevTex, 38 pages, 2 figures, review
dc.identifierhttps://arxiv.org/abs/0706.3897
dc.identifierhttp://arxiv.org/abs/0706.3897
dc.identifierCentral European Journal of Physics, 5(3), 2007, pp. 253-284
dc.identifierdoi:10.2478/s11534-007-0018-5
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132666
dc.subjectQuantum Physics
dc.subjectNuclear Theory
dc.titleRomanovski polynomials in selected physics problems
dc.typetext

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