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.
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.