Determinant inequalities for sieved ultraspherical polynomials.
Bustoz, J., Pyung, I.S. (2001)
International Journal of Mathematics and Mathematical Sciences
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Bustoz, J., Pyung, I.S. (2001)
International Journal of Mathematics and Mathematical Sciences
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Douak, Khalfa (1999)
International Journal of Mathematics and Mathematical Sciences
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Zagorodnyuk, Sergey M. (2003)
The New York Journal of Mathematics [electronic only]
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Tetsuya Sugitani (1995)
Compositio Mathematica
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Thakare, N.K., Madhekar, M.C. (1988)
International Journal of Mathematics and Mathematical Sciences
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J. F. Van Diejen (1995)
Compositio Mathematica
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Dutta, M., Manocha, Kanchan Prabha (1983)
International Journal of Mathematics and Mathematical Sciences
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Groza, Valentyna A., Kachuryk, Ivan I. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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D. Mangeron, A. M. Krall, D. L. Fernández (1983)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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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.
Djordjević, Gospava B. (1997)
Matematichki Vesnik
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