AbstractBender's generalization of the q-binomial Vandermonde convolution is reformulated with weaker constraints. This and a similar convolution for q-multinomial coefficients are proved by interpreting the coefficients as generating functions that enumerate multidimensional lattice paths
In the present paper we introduce a generalization of the well-known Chu-Vandermonde identity. In pa...
Plus an approach to define a reciprocal Abstract: The Vandermonde-matrix plays a special rôle in thi...
International audienceFollowing the work of Cano and Díaz, we study continuous binomial coefficients...
AbstractA generalization of the Vandermonde convolution is proved for q-binomial coefficients. When ...
A generalized Laplace expansion for the permanent function is provided. As a consequence, a multinom...
AbstractA generalized q-binomial Vandermonde convolution of Sulanke is proved using a generalization...
The Vandermonde determinant plays a crucial role in the quantum Hall effect via Laughlin's wavefunct...
AbstractA bijective proof of Gessel and Viennot is extended to a proof of an n-dimensional q-analogu...
It is well known that Gaussian polynomials (i.e., q-binomials) describe the distribution of the [For...
In this paper we study a q-analogue of the convolution product on the line in detail. A convolution ...
An approach to define a reciprocal Abstract: The Vandermonde-matrix plays a special rôle in this col...
International audienceFollowing the work of Cano and Díaz, we consider a continuous analog of lattic...
We define two classes of multiple basic hypergeometric series $V_{k,t}(a,q)$ and $W_{k,t}(a,q)$ whic...
Abstract. A few years ago Foda, Quano, Kirillov and Warnaar proposed and proved various finite analo...
Given n ≥ 2 let a denote an increasing n-tuple of non-negative integers ai and let x denote an n-tup...
In the present paper we introduce a generalization of the well-known Chu-Vandermonde identity. In pa...
Plus an approach to define a reciprocal Abstract: The Vandermonde-matrix plays a special rôle in thi...
International audienceFollowing the work of Cano and Díaz, we study continuous binomial coefficients...
AbstractA generalization of the Vandermonde convolution is proved for q-binomial coefficients. When ...
A generalized Laplace expansion for the permanent function is provided. As a consequence, a multinom...
AbstractA generalized q-binomial Vandermonde convolution of Sulanke is proved using a generalization...
The Vandermonde determinant plays a crucial role in the quantum Hall effect via Laughlin's wavefunct...
AbstractA bijective proof of Gessel and Viennot is extended to a proof of an n-dimensional q-analogu...
It is well known that Gaussian polynomials (i.e., q-binomials) describe the distribution of the [For...
In this paper we study a q-analogue of the convolution product on the line in detail. A convolution ...
An approach to define a reciprocal Abstract: The Vandermonde-matrix plays a special rôle in this col...
International audienceFollowing the work of Cano and Díaz, we consider a continuous analog of lattic...
We define two classes of multiple basic hypergeometric series $V_{k,t}(a,q)$ and $W_{k,t}(a,q)$ whic...
Abstract. A few years ago Foda, Quano, Kirillov and Warnaar proposed and proved various finite analo...
Given n ≥ 2 let a denote an increasing n-tuple of non-negative integers ai and let x denote an n-tup...
In the present paper we introduce a generalization of the well-known Chu-Vandermonde identity. In pa...
Plus an approach to define a reciprocal Abstract: The Vandermonde-matrix plays a special rôle in thi...
International audienceFollowing the work of Cano and Díaz, we study continuous binomial coefficients...
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