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## Open Physics

2007 | 5 | 3 | 253-284
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### Romanovski polynomials in selected physics problems

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Abstracts
EN
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.
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253-284
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Dates
published
1 - 9 - 2007
online
1 - 9 - 2007
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author
• Facultad de Ciencias, Universidad Autónoma de San Luis Potosí, 78290, San Luis Potosí, México
author
author
• Instituto de Física, Universidad Autónoma de San Luis Potosí, 78290, San Luis Potosí, México
author
• Instituto de Física, Universidad Autónoma de San Luis Potosí, 78290, San Luis Potosí, México
References
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Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-007-0018-5
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