On polynomials taking small values at integral arguments II
Roberto Dvornicich, Shih Ping Tung, Umberto Zannier (2003)
Acta Arithmetica
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Displaying similar documents to “q-Angelescu polynomials.”
On polynomials taking small values at integral arguments II
A unified class of polynomials.
Agrawal, Hukum Chand (1983)
Publications de l'Institut Mathématique. Nouvelle Série
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On the irreducibility of the generalized Laguerre polynomials
M. Filaseta, T.-Y. Lam (2002)
Acta Arithmetica
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Some results on biorthogonal polynomials.
Ruedemann, Richard W. (1994)
International Journal of Mathematics and Mathematical Sciences
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Generalized Angelescu polynomial
D. P. Shukla (1979)
Matematički Vesnik
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An estimate for coefficients of polynomials in norm. II.
Milovanović, G.V., Rančić, L.Z. (1995)
Publications de l'Institut Mathématique. Nouvelle Série
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Connections between Romanovski and other polynomials
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.
A characterization of the Rogers -Hermite polynomials.
Al-Salam, Waleed A. (1995)
International Journal of Mathematics and Mathematical Sciences
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On the irrationality of polynomial Cantor series
Jaroslav Hančl, Robert Tijdeman (2008)
Acta Arithmetica
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Linearization coefficients for Sheffer polynomial sets via lowering operators.
Ben Cheikh, Y., Chaggara, H. (2006)
International Journal of Mathematics and Mathematical Sciences
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Reciprocal Stern Polynomials
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.
Recurrence relation for a class of polynomials associated with the generalized Hermite polynomials.
Milovanović, Gradimir V. (1993)
Publications de l'Institut Mathématique. Nouvelle Série
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Connections between real polynomial solutions of hypergeometric-type differential equations with Rodrigues formula
Hans Weber (2007)
Open Mathematics
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Starting from the Rodrigues representation of polynomial solutions of the general hypergeometric-type differential equation complementary polynomials are constructed using a natural method. Among the key results is a generating function in closed form leading to short and transparent derivations of recursion relations and addition theorem. The complementary polynomials satisfy a hypergeometric-type differential equation themselves, have a three-term recursion among others and obey Rodrigues...
Some class of polynomial hypergroups
Wojciech Młotkowski (2006)
Banach Center Publications
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We provide explicit formulas for linearizing coefficients for some class of orthogonal polynomials.