On the irreducibility of the generalized Laguerre polynomials
M. Filaseta, T.-Y. Lam (2002)
Acta Arithmetica
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M. Filaseta, T.-Y. Lam (2002)
Acta Arithmetica
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Agrawal, Hukum Chand (1983)
Publications de l'Institut Mathématique. Nouvelle Série
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Shukla, D.P. (1981)
Publications de l'Institut Mathématique. Nouvelle Série
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Jaroslav Hančl, Robert Tijdeman (2008)
Acta Arithmetica
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D. P. Shukla (1979)
Matematički Vesnik
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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.
Ruedemann, Richard W. (1994)
International Journal of Mathematics and Mathematical Sciences
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Milovanović, G.V., Rančić, L.Z. (1995)
Publications de l'Institut Mathématique. Nouvelle Série
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Artāras Dubickas (2007)
Acta Arithmetica
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Antonia W. Bluher (2004)
Acta Arithmetica
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Ben Cheikh, Y., Chaggara, H. (2006)
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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Milovanović, Gradimir V. (1993)
Publications de l'Institut Mathématique. Nouvelle Série
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C. Fong, G. Lumer, E. Nordgren, H. Radjavi, P. Rosenthal (1995)
Studia Mathematica
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We prove that a function f is a polynomial if G◦f is a polynomial for every bounded linear functional G. We also show that an operator-valued function is a polynomial if it is locally a polynomial.