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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Ben Cheikh, Y., Chaggara, H. (2006)
International Journal of Mathematics and Mathematical Sciences
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Graillat, Stef (2008)
Applied Mathematics E-Notes [electronic only]
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Miloslav Nekvinda (1989)
Aplikace matematiky
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The article is a survey on problem of the theorem of Hurwitz. The starting point of explanations is Schur's decomposition theorem for polynomials. It is showed how to obtain the well-known criteria on the distribution of roots of polynomials. The theorem on uniqueness of constants in Schur's decomposition seems to be new.
Stef Graillat, Philippe Langlois (2007)
RAIRO - Theoretical Informatics and Applications
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Pseudozeros are useful to describe how perturbations of polynomial coefficients affect its zeros. We compare two types of pseudozero sets: the complex and the real pseudozero sets. These sets differ with respect to the type of perturbations. The first set – complex perturbations of a complex polynomial – has been intensively studied while the second one – real perturbations of a real polynomial – seems to have received little attention. We present a computable formula for the real...
Rupert Lasser (2007)
Studia Mathematica
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We investigate amenability and weak amenability of the l¹-algebra of polynomial hypergroups. We derive conditions for (weak) amenability adapted to polynomial hypergroups and show that these conditions are often not satisfied. However, we prove amenability for the hypergroup induced by the Chebyshev polynomials of the first kind.
Barbero, Stefano, Cerruti, Umberto, Murru, Nadir (2010)
Journal of Integer Sequences [electronic only]
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Norbert Hegyvári, François Hennecart (2009)
Acta Arithmetica
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Ivan, Mircea (1998)
General Mathematics
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Andrzej Kwaśniewski, Ewa Borak (2004)
Open Mathematics
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“A Calculus of Sequences” started in 1936 by Ward constitutes the general scheme for extensions of classical operator calculus of Rota-Mullin considered by many afterwards and after Ward. Because of the notation we shall call the Ward's calculus of sequences in its afterwards elaborated form-a ψ-calculus. The ψ-calculus in parts appears to be almost automatic, natural extension of classical operator calculus of Rota-Mullin or equivalently-of umbral calculus of Roman and Rota. At the...
W. Głocki (1987)
Applicationes Mathematicae
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H. Kaufman, Mira Bhargava (1965)
Collectanea Mathematica
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J. Siciak (1971)
Annales Polonici Mathematici
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