On a generalization of Laguerre polynomials
S. K. Chatterjea (1964)
Rendiconti del Seminario Matematico della Università di Padova
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S. K. Chatterjea (1964)
Rendiconti del Seminario Matematico della Università di Padova
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A. M. Chak (1970)
Matematički Vesnik
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A. M. Chak (1970)
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Dutta, M., Manocha, Kanchan Prabha (1983)
International Journal of Mathematics and Mathematical Sciences
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Madhekar, H.C., Chamle, V.T. (1987)
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R.C.S. Chandel (1977)
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Milovanović, Gradimir V. (1993)
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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.