Add to ORKG30 pagesInternational audienceThe 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 g_n. Our main results include a new q-binomial theorem, new q-Gauss sum, and several transformation formulae for g_n series
The symmetric Macdonald polynomials may be constructed from the nonsymmetric Macdonald polynomials. ...
This paper surveys eight classes of polynomials associated with A-type and BC-type root systems: Jac...
AbstractKnop and Sahi simultaneously introduced a family of non-homogeneous, non-symmetric polynomia...
30 pagesInternational audienceThe Knop-Sahi interpolation Macdonald polynomials are inhomogeneous an...
The Knop-Sahi interpolation Macdonald polynomials are inhomogeneous and nonsymmetric generalisations...
The Knop-Sahi interpolation Macdonald polynomials are inhomogeneous and nonsymmetric generalisations...
28 pagesInternational audienceA one-parameter generalisation R_{\lambda}(X;b) of the symmetric Macdo...
28 pagesInternational audienceA one-parameter generalisation R_{\lambda}(X;b) of the symmetric Macdo...
AbstractA one-parameter rational function generalisation Rλ(X;b) of the symmetric Macdonald polynomi...
We study Macdonald polynomials from a basic hypergeometric series point of view. In particular, we s...
AbstractKnop and Sahi introduced a family of non-homogeneous and non-symmetric polynomials, Gα(x;q,t...
Symmetric and nonsymmetric Macdonald polynomials associated to root systems are very general familie...
AbstractA multiple generalization of the Euler transformation formula for basic hypergeometric serie...
© 2010 Dr. Wendy BarattaThe nonsymmetric Macdonald polynomials generalise the symmetric Macdonald po...
AbstractWe present an explicit expression for the q-difference system of rank n+1 satisfied by a BCn...
The symmetric Macdonald polynomials may be constructed from the nonsymmetric Macdonald polynomials. ...
This paper surveys eight classes of polynomials associated with A-type and BC-type root systems: Jac...
AbstractKnop and Sahi simultaneously introduced a family of non-homogeneous, non-symmetric polynomia...
30 pagesInternational audienceThe Knop-Sahi interpolation Macdonald polynomials are inhomogeneous an...
The Knop-Sahi interpolation Macdonald polynomials are inhomogeneous and nonsymmetric generalisations...
The Knop-Sahi interpolation Macdonald polynomials are inhomogeneous and nonsymmetric generalisations...
28 pagesInternational audienceA one-parameter generalisation R_{\lambda}(X;b) of the symmetric Macdo...
28 pagesInternational audienceA one-parameter generalisation R_{\lambda}(X;b) of the symmetric Macdo...
AbstractA one-parameter rational function generalisation Rλ(X;b) of the symmetric Macdonald polynomi...
We study Macdonald polynomials from a basic hypergeometric series point of view. In particular, we s...
AbstractKnop and Sahi introduced a family of non-homogeneous and non-symmetric polynomials, Gα(x;q,t...
Symmetric and nonsymmetric Macdonald polynomials associated to root systems are very general familie...
AbstractA multiple generalization of the Euler transformation formula for basic hypergeometric serie...
© 2010 Dr. Wendy BarattaThe nonsymmetric Macdonald polynomials generalise the symmetric Macdonald po...
AbstractWe present an explicit expression for the q-difference system of rank n+1 satisfied by a BCn...
The symmetric Macdonald polynomials may be constructed from the nonsymmetric Macdonald polynomials. ...
This paper surveys eight classes of polynomials associated with A-type and BC-type root systems: Jac...
AbstractKnop and Sahi simultaneously introduced a family of non-homogeneous, non-symmetric polynomia...