Spherical Functions and a q-Analogue of Kostant's Weight Multiplicity Formula.
Stirling distributions and Stirling numbers of the second kind. Computational problems in statistics
Sum relations for Lucas sequences.
Sums of reciprocals of the central binomial coefficients.
Super boson-fermion correspondence
We establish a super boson-fermion correspondence, generalizing the classical boson-fermion correspondence in 2-dimensional quantum field theory. A new feature of the theory is the essential non-commutativity of bosonic fields. The superbosonic fields obtained by the super bosonization procedure from super fermionic fields form the affine superalgebra . The converse, super fermionization procedure, requires introduction of the super vertex operators. As applications, we give vertex operator constructions...
Supernomial coefficients, supernomials coefficients Bailey's lemma and Rogers-Ramanujan-type identities. A survey of results and open problems.
Sur certaines relations restant valables si l'on permute les opérateurs y intervenant
Sur les valeurs asymptotiques de quelques fonctions numériques.
Sur quelques aspects combinatoires du calcul des probabilités
Symmetric functions and multivariate basic hypergeometric series. (Fonctions symétriques et séries hypergéométriques basiques multivariées.)
Symmetric identity for polynomial sequences satisfying
Using umbral calculus, we establish a symmetric identity for any sequence of polynomials satisfying with a constant polynomial. This identity allows us to obtain in a simple way some known relations involving Apostol-Bernoulli polynomials, ApostolEuler polynomials and generalized Bernoulli polynomials attached to a primitive Dirichlet character.
Symmetric inclusion-exclusion.