Estimates for polynomials orthogonal with respect to some Gegenbauer-Sobolev type inner product.
Foulquié Moreno, Ana, Marcellán, Francisco, Osilenker, Boris P. (1999)
Journal of Inequalities and Applications [electronic only]
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Foulquié Moreno, Ana, Marcellán, Francisco, Osilenker, Boris P. (1999)
Journal of Inequalities and Applications [electronic only]
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Hans Weber (2007)
Open Mathematics
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A connection between Romanovski polynomials and those polynomials that solve the one-dimensional Schrödinger equation with the trigonometric Rosen-Morse and hyperbolic Scarf potential is established. The map is constructed by reworking the Rodrigues formula in an elementary and natural way. The generating function is summed in closed form from which recursion relations and addition theorems follow. Relations to some classical polynomials are also given.
H. N. Odogwu (1989)
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D. K. Basu (1975)
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L. Hajdu, R. Tijdeman (2003)
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Arun Verma (1975)
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P. N. Shrivastava (1977)
Publications de l'Institut Mathématique
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P. N. Shrivastava (1978)
Publications de l'Institut Mathématique
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