Connections between Romanovski and other polynomials

Central European Journal of Mathematics

Volumn 5, Issue 3, 2007, Pages 581-595

  Weber, Hans J ^a  

^a University of Virginia   (United States)

Author keywords

Addition theorems; Complexi fied Jacobi polynomials; Generating function; Recursion relations; Romanovski polynomials

Indexed keywords

EID: 34447499974     PISSN: 18951074     EISSN: 16443616     Source Type: Journal    
DOI: 10.2478/s11533-007-0014-4     Document Type: Article

References (7)

1. E.J. Routh: "On some properties of certain solutions of a differential equation of second order", Proc. London Math. Soc., Vol. 16, (1884), pp. 245-261.
2. V. Romanovski: "Sur quelques classes nouvelles de polynomes orthogonaux", C. R. Acad. Sci. Paris, Vol. 188, (1929), pp. 1023-1025.
3. N. Cotfas: "Systems of orthogonal polynomials defined by hypergeometric type equations with application to quantum mechanics", Cent. Eur. J. Phys., Vol. 2, (2004), pp. 456-466; "Shape invariant hypergeometric type operators with application to qAantum mechanics", Preprint: ArXiv:math-ph/0603032.
4. C.B. Compean and M. Kirchbach: "The trigonometric Rosen-Morse potential in supersymmetric quantum mechanics and its exact solutions", J. Phys. A-Math. Gen., Vol. 39, (2006), pp. 547-557.
5. A. Raposi, H.J. Weber, D. Alvarez-Castillo and M. Kirchbach: "Romanovski polynomials in selected physics problems", Cent. Eur. J. Phys., to be published.
6. H.J. Weber: "Connections between real polynomial solutions of hypergeometric-type differential equations with Rodrigues formula", Cent. Eur. J. Math., Vol. 5, (2007), pp. 415-427.
7. G.B. Arfken and H.J. Weber: Mathematical Methods for Physicists, 6th ed., Elsevier-Academic Press, Amsterdam, 2005.