Add to ORKGThe Knop-Sahi interpolation Macdonald polynomials are inhomogeneous and nonsymmetric generalisations of the well-known Macdonald polynomials. In this paper we apply the interpolation Macdonald polynomials to study a new type of basic hypergeometric series of type gl_n. Our main results include a new q-binomial theorem, a new q-Gauss sum, and several transformation formulae for gl_n series
AbstractKnop and Sahi introduced a family of non-homogeneous and non-symmetric polynomials, Gα(x;q,t...
AbstractIn this paper, we first give several operator identities involving the bivariate Rogers–Szeg...
AbstractKnop and Sahi simultaneously introduced a family of non-homogeneous, non-symmetric polynomia...
The Knop-Sahi interpolation Macdonald polynomials are inhomogeneous and nonsymmetric generalisations...
30 pagesInternational audienceThe Knop-Sahi interpolation Macdonald polynomials are inhomogeneous an...
30 pagesInternational audienceThe Knop-Sahi interpolation Macdonald polynomials are inhomogeneous an...
28 pagesInternational audienceA one-parameter generalisation R_{\lambda}(X;b) of the symmetric Macdo...
We study Macdonald polynomials from a basic hypergeometric series point of view. In particular, we s...
28 pagesInternational audienceA one-parameter generalisation R_{\lambda}(X;b) of the symmetric Macdo...
AbstractIn this paper it is shown that the Macdonald identities for A(1)l are a natural consequence ...
AbstractA one-parameter rational function generalisation Rλ(X;b) of the symmetric Macdonald polynomi...
AbstractA multiple generalization of the Euler transformation formula for basic hypergeometric serie...
AbstractIn this paper it is shown that the Macdonald identities for A(1)l are a natural consequence ...
Symmetric and nonsymmetric Macdonald polynomials associated to root systems are very general familie...
We consider two important families of BC_n-symmetric polynomials, namely Okounkov's interpolation po...
AbstractKnop and Sahi introduced a family of non-homogeneous and non-symmetric polynomials, Gα(x;q,t...
AbstractIn this paper, we first give several operator identities involving the bivariate Rogers–Szeg...
AbstractKnop and Sahi simultaneously introduced a family of non-homogeneous, non-symmetric polynomia...
The Knop-Sahi interpolation Macdonald polynomials are inhomogeneous and nonsymmetric generalisations...
30 pagesInternational audienceThe Knop-Sahi interpolation Macdonald polynomials are inhomogeneous an...
30 pagesInternational audienceThe Knop-Sahi interpolation Macdonald polynomials are inhomogeneous an...
28 pagesInternational audienceA one-parameter generalisation R_{\lambda}(X;b) of the symmetric Macdo...
We study Macdonald polynomials from a basic hypergeometric series point of view. In particular, we s...
28 pagesInternational audienceA one-parameter generalisation R_{\lambda}(X;b) of the symmetric Macdo...
AbstractIn this paper it is shown that the Macdonald identities for A(1)l are a natural consequence ...
AbstractA one-parameter rational function generalisation Rλ(X;b) of the symmetric Macdonald polynomi...
AbstractA multiple generalization of the Euler transformation formula for basic hypergeometric serie...
AbstractIn this paper it is shown that the Macdonald identities for A(1)l are a natural consequence ...
Symmetric and nonsymmetric Macdonald polynomials associated to root systems are very general familie...
We consider two important families of BC_n-symmetric polynomials, namely Okounkov's interpolation po...
AbstractKnop and Sahi introduced a family of non-homogeneous and non-symmetric polynomials, Gα(x;q,t...
AbstractIn this paper, we first give several operator identities involving the bivariate Rogers–Szeg...
AbstractKnop and Sahi simultaneously introduced a family of non-homogeneous, non-symmetric polynomia...