A Bochner theorem for Dunkl polynomials.
A bound on the Laguerre polynomials
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.
A characterization of localized Bessel potential spaces and applications to Jacobi and Henkel multipliers
A characterization of the four Chebyshev orthogonal families.
A class of finite -series. - III
A Class of Orthogonal Polynomials in k Variables.
A class of orthogonal polynomials of a new type.
A Cohen type inequality for Fourier expansions of orthogonal polynomials with a nondiscrete Jacobi-Sobolev inner product.
A combinatorial representation with Schröder paths of biorthogonality of Laurent biorthogonal polynomials.
A computer proof of Turán's inequality.
A correction to the paper "A multiplier theorem for Jacobi expansion" Studia Math. 52 (1975), pp. 234-261
A counterexample to an assertion due to Blumenthal.
A deformation of commutative polynomial algebras in even numbers of variables
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...
A determinant identity that implies Rogers-Ramanujan.
A family of tridiagonal pairs related to the quantum affine algebra .
A fast algorithm for the construction of recurrence relations for modified moments
A new approach is presented for constructing recurrence relations for the modified moments of a function with respect to the Gegenbauer polynomials.
A generalization of Bateman's expansion and finite integrals of Sonine's and Feldheim's type
Let be a sequence of arbitrary complex numbers, let α,β > -1, let Pₙα,βn=0+∞
A generalization of the Bernoulli polynomials.
A generalized inversion formula for the continuous Jacobi transform.
A Markov Type Inequality for Higher Derivates of Polynomials.