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Displaying 41 – 53 of 53

Representations of the quantum algebra ${su}_{q} (1, 1)$ and discrete $q$ -ultraspherical polynomials.

Groza, Valentyna (2005)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Reproducing kernels for Dunkl polyharmonic polynomials

Kamel Touahri (2012)

Commentationes Mathematicae Universitatis Carolinae

In this paper, we compute explicitly the reproducing kernel of the space of homogeneous polynomials of degree $n$ and Dunkl polyharmonic of degree $m$ , i.e. $Δ_{k}^{m} u = 0$ , $m \in ℕ ∖ {0}$ , where $Δ_{k}$ is the Dunkl Laplacian and we study the convergence of the orthogonal series of Dunkl polyharmonic homogeneous polynomials.

Rhombus tilings of a hexagon with two triangles missing on the symmetry axis.

Eisenkölbl, Theresia (1999)

The Electronic Journal of Combinatorics [electronic only]

Riesz potentials derived by one-mode interacting Fock space approach

Nobuhiro Asai (2007)

Colloquium Mathematicae

The main aim of this short paper is to study Riesz potentials on one-mode interacting Fock spaces equipped with deformed annihilation, creation, and neutral operators with constants $c_{0, 0}, c_{1, 1} \in ℝ$ and $c_{0, 1} > 0$ , $c_{1, 2} \geq 0$ as in equations (1.4)-(1.6). First, to emphasize the importance of these constants, we summarize our previous results on the Hilbert space of analytic L² functions with respect to a probability measure on ℂ. Then we consider the Riesz kernels of order 2α, $α = c_{0, 1} / c_{1, 2}$ , on ℂ if $0 < c_{0, 1} < c_{1, 2}$ , which can be derived from the Bessel...

Displaying 41 – 53 of 53

Representations of the quantum algebra ${su}_{q} (1, 1)$ and discrete $q$ -ultraspherical polynomials.

Reproducing kernels for Dunkl polyharmonic polynomials

Rhombus tilings of a hexagon with two triangles missing on the symmetry axis.

Riesz potentials derived by one-mode interacting Fock space approach

Riesz transforms : a simpler analytic proof of P. A. Meyer's inequality

Riordan arrays, orthogonal polynomials as moments, and Hankel transforms.

Riordan arrays, Sheffer sequences and “orthogonal” polynomials.

Rodrigues-type formulae for Hermite and Laguerre polynomials.

Rogers-Ramanujan-Slater type identities.

Root systems and hypergeometric functions. I

Root systems and hypergeometric functions. II

Root systems and hypergeometric functions III

Root systems and hypergeometric functions IV

Currently displaying 41 – 53 of 53