On polynomials taking small values at integral arguments II
Roberto Dvornicich, Shih Ping Tung, Umberto Zannier (2003)
Acta Arithmetica
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Roberto Dvornicich, Shih Ping Tung, Umberto Zannier (2003)
Acta Arithmetica
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Shukla, D.P. (1981)
Publications de l'Institut Mathématique. Nouvelle Série
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Milovanović, G.V., Rančić, L.Z. (1995)
Publications de l'Institut Mathématique. Nouvelle Série
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D. P. Shukla (1979)
Matematički Vesnik
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M. Filaseta, T.-Y. Lam (2002)
Acta Arithmetica
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Ruedemann, Richard W. (1994)
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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A. Schinzel (2015)
Bulletin of the Polish Academy of Sciences. Mathematics
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A partial answer is given to a problem of Ulas (2011), asking when the nth Stern polynomial is reciprocal.
Jaroslav Hančl, Robert Tijdeman (2008)
Acta Arithmetica
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I. R. Shafarevich (1999)
The Teaching of Mathematics
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Al-Salam, Waleed A. (1995)
International Journal of Mathematics and Mathematical Sciences
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Djordjević, Gospava B. (1997)
Matematichki Vesnik
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Mumtaz Ahmad Khan, Ajay Kumar Shukla (1999)
Czechoslovak Mathematical Journal
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Certain generalizations of Sister Celine’s polynomials are given which include most of the known polynomials as their special cases. Besides, generating functions and integral representations of these generalized polynomials are derived and a relation between generalized Laguerre polynomials and generalized Bateman’s polynomials is established.
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.