Representations of the quantum algebra and discrete -ultraspherical polynomials.
Reproducing kernels for Dunkl polyharmonic polynomials
In this paper, we compute explicitly the reproducing kernel of the space of homogeneous polynomials of degree and Dunkl polyharmonic of degree , i.e. , , where 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.
Riesz potentials derived by one-mode interacting Fock space approach
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 and , 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, , on ℂ if , which can be derived from the Bessel...
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
Saalschützian transforms
Sammlung von Formeln welche bei Anwendung der elliptischen und Rosenhain'schen Functionen gebraucht werden [Book]
Schrödinger Equation and Oscillatory Hilbert Transforms of Second Degree.
Schützenberger groups and Chebyshev polynomials.
Searching for strange hypergeometric identities by sheer brute force.
Selbstadjungierte Differentialoperatoren erster Ordnung in A2 (Co).
Self-conjugate vector partitions and the parity of the spt-function
Let spt(n) denote the total number of appearances of the smallest parts in all the partitions of n. Recently, we found new combinatorial interpretations of congruences for the spt-function modulo 5 and 7. These interpretations were in terms of a restricted set of weighted vector partitions which we call S-partitions. We prove that the number of self-conjugate S-partitions, counted with a certain weight, is related to the coefficients of a certain mock theta function studied by the first author,...