Motzkin numbers, central trinomial coefficients and hybrid polynomials.
Blasiak, P., Dattoli, G., Horzela, A., Penson, K.A., Zhukovsky, K. (2008)
Journal of Integer Sequences [electronic only]
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Blasiak, P., Dattoli, G., Horzela, A., Penson, K.A., Zhukovsky, K. (2008)
Journal of Integer Sequences [electronic only]
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Al-Salam, Waleed A. (1995)
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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R.C.S. Chandel (1977)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Milovanović, Gradimir V. (1993)
Publications de l'Institut Mathématique. Nouvelle Série
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Madhekar, H.C., Chamle, V.T. (1987)
International Journal of Mathematics and Mathematical Sciences
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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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Meredith, D.G. (2003)
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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Bustoz, Joaquin, Ismail, Mourad E.H. (1997)
International Journal of Mathematics and Mathematical Sciences
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Della Riccia, Giacomo (2008)
Journal of Integer Sequences [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.
D. P. Shukla (1979)
Matematički Vesnik
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S. K. Chatterjea (1964)
Rendiconti del Seminario Matematico della Università di Padova
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