A class of orthogonal polynomials of a new type.
Dutta, M., Manocha, Kanchan Prabha (1983)
International Journal of Mathematics and Mathematical Sciences
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Dutta, M., Manocha, Kanchan Prabha (1983)
International Journal of Mathematics and Mathematical Sciences
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Janjić, Milan (2009)
Journal of Integer Sequences [electronic only]
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Srivastava, A.N., Singh, S.D., Singh, S.N. (1980)
International Journal of Mathematics and Mathematical Sciences
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Milovanović, Gradimir V. (1993)
Publications de l'Institut Mathématique. Nouvelle Série
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S. K. Chatterjea (1964)
Rendiconti del Seminario Matematico della Università di Padova
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Dattoli, G., Srivastava, H. M., Sacchetti, D. (2003)
International Journal of Mathematics and Mathematical Sciences
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Thakare, N.K., Madhekar, M.C. (1988)
International Journal of Mathematics and Mathematical Sciences
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R.C.S. Chandel (1977)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Bustoz, Joaquin, Ismail, Mourad E.H. (1997)
International Journal of Mathematics and Mathematical Sciences
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Al-Salam, Waleed A. (1995)
International Journal of Mathematics and Mathematical Sciences
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Natalini, P., Ricci, P.E. (2006)
International Journal of Mathematics and Mathematical Sciences
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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.
Bretti, Gabriella, Natalini, Pierpaolo, Ricci, Paolo E. (2004)
Abstract and Applied Analysis
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