Abstract. The generalized binomial coefficients discussed in this paper were first studied in the context of spherical functions for Gelfand pairs associated with the Heisenberg group. We now define generalized binomial coefficients in a more general context, and show that they satisfy most of the combinatorial properties obtained for Gelfand pairs. The results depend on an isometric involution defined on polynomials on Cn. 1
AbstractWe study some properties of generalized binomial coefficients for symmetric cones and we obt...
This paper presents a multinomial theorem on the binomial coefficients for combinatorial geometric s...
AbstractLet ξ be a complex variable. We associate a polynomial in ξ, denoted (MN)ξ, to any two molec...
Abstract. Let V be a finite dimensional Hermitian vector space and K be a com-pact Lie subgroup of U...
This paper presents binomial and factorial theorems on the binomial coefficients in combinatorial ge...
This paper presents binomial and factorial theorems on the binomial coefficients for combinatorial g...
This paper presents a binomial and factorial theorem on the binomial coefficients for combinatorial ...
AbstractWe pose the question of what is the best generalization of the factorial and the binomial co...
This paper presents a theorem on the binomial coefficients of combinatorial geometric series and its...
This paper presents binomial theorems on combinatorial identities that are derived from the binomial...
This paper discusses the construction and analysis of the binomial coefficients for combinatorial ge...
Abstract. The action of the unitary group on the real Heisenberg group yields a Gelfand pair. The as...
Let H_n be the 2n + 1-dimensional Heisenberg group. We consider thegeneralized Gelfand pairs (R*xH_1...
AbstractWe show that the action of the group G on each level of the rooted binary tree T2 is 2-point...
This paper presents an innovative theorem on the binomial coefficients of combinatorial geometric se...
AbstractWe study some properties of generalized binomial coefficients for symmetric cones and we obt...
This paper presents a multinomial theorem on the binomial coefficients for combinatorial geometric s...
AbstractLet ξ be a complex variable. We associate a polynomial in ξ, denoted (MN)ξ, to any two molec...
Abstract. Let V be a finite dimensional Hermitian vector space and K be a com-pact Lie subgroup of U...
This paper presents binomial and factorial theorems on the binomial coefficients in combinatorial ge...
This paper presents binomial and factorial theorems on the binomial coefficients for combinatorial g...
This paper presents a binomial and factorial theorem on the binomial coefficients for combinatorial ...
AbstractWe pose the question of what is the best generalization of the factorial and the binomial co...
This paper presents a theorem on the binomial coefficients of combinatorial geometric series and its...
This paper presents binomial theorems on combinatorial identities that are derived from the binomial...
This paper discusses the construction and analysis of the binomial coefficients for combinatorial ge...
Abstract. The action of the unitary group on the real Heisenberg group yields a Gelfand pair. The as...
Let H_n be the 2n + 1-dimensional Heisenberg group. We consider thegeneralized Gelfand pairs (R*xH_1...
AbstractWe show that the action of the group G on each level of the rooted binary tree T2 is 2-point...
This paper presents an innovative theorem on the binomial coefficients of combinatorial geometric se...
AbstractWe study some properties of generalized binomial coefficients for symmetric cones and we obt...
This paper presents a multinomial theorem on the binomial coefficients for combinatorial geometric s...
AbstractLet ξ be a complex variable. We associate a polynomial in ξ, denoted (MN)ξ, to any two molec...