A Bochner theorem for Dunkl polynomials.
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Vinet, Luc, Zhedanov, Alexei (2011)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Antonio Duran (1991)
Studia Mathematica
We give the following bounds on Laguerre polynomials and their derivatives (α ≥ 0): for all natural numbers k, p, n ≥ 0 and t ≥ 0. Also, we give (as the main result of this paper) a technique to estimate the order in k and p in bounds similar to the previous ones, which will be used to see that the estimate on k and p in the previous bounds is sharp and to give an estimate on k and p in other bounds on the Laguerre polynomials proved by Szegö.
George Gasper, Walter Trebels (1979)
Studia Mathematica
Berriochoa, E., Cachafeiro, A., Garcia-Amor, J.M. (2005)
International Journal of Mathematics and Mathematical Sciences
H. M. Srivastava (1986)
Rendiconti del Seminario Matematico della Università di Padova
Richard Eier, Rudolf Lidl (1982)
Mathematische Annalen
Dutta, M., Manocha, Kanchan Prabha (1983)
International Journal of Mathematics and Mathematical Sciences
Fejzullahu, Bujar Xh., Marcellán, Francisco (2010)
Journal of Inequalities and Applications [electronic only]
Kamioka, Shuhei (2007)
The Electronic Journal of Combinatorics [electronic only]
Gerhold, Stefan, Kauers, Manuel (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
W. Connett, A. Schwartz (1975)
Studia Mathematica
Ifantis, E.K., Siafarikas, P.D. (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
Wenhua Zhao (2010)
Open Mathematics
We introduce and study a deformation of commutative polynomial algebras in even numbers of variables. We also discuss some connections and applications of this deformation to the generalized Laguerre orthogonal polynomials and the interchanges of right and left total symbols of differential operators of polynomial algebras. Furthermore, a more conceptual re-formulation for the image conjecture [18] is also given in terms of the deformed algebras. Consequently, the well-known Jacobian conjecture...
Garrett, Kristina C. (2005)
The Electronic Journal of Combinatorics [electronic only]
Alnajjar, Hasan, Curtin, Brian (2005)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Stanisław Lewanowicz (1994)
Applicationes Mathematicae
A new approach is presented for constructing recurrence relations for the modified moments of a function with respect to the Gegenbauer polynomials.
Giacomo Gigante (2010)
Colloquium Mathematicae
Let be a sequence of arbitrary complex numbers, let α,β > -1, let Pₙα,βn=0+∞
Natalini, Pierpaolo, Bernardini, Angela (2003)
Journal of Applied Mathematics
Zayed, Ahmed I. (1987)
International Journal of Mathematics and Mathematical Sciences
P. Dörfler (1990)
Monatshefte für Mathematik
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