Geodesic
The correlation functions of vertex operators and Macdonald polynomials
Journal of Algebraic Combinatorics, Tome 25 (2007) no. 1, pp. 43-56.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The $n$-point correlation functions introduced by Bloch and Okounkov have already found several geometric connections and algebraic generalizations. In this note we formulate a $q, t$-deformation of this $n$-point function. The key operator used in our formulation arises from the theory of Macdonald polynomials and affords a vertex operator interpretation. We obtain closed formulas for the $n$-point functions when $n = 1$,2 in terms of the basic hypergeometric functions. We further generalize the $q, t$-deformed $n$-point function to more general vertex operators.
Keywords: keywords correlation functions, Macdonald polynomials, vertex operators, hypergeometric series 
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Cheng, Shun-Jen; Wang, Weiqiang. The correlation functions of vertex operators and Macdonald polynomials. Journal of Algebraic Combinatorics, Tome 25 (2007) no. 1, pp. 43-56. http://geodesic.mathdoc.fr/item/JAC_2007__25_1_a2/