An (inverse) Pieri formula for Macdonald polynomials of type C

Abstract

We give an explicit Pieri formula for Macdonald polynomials attached to the root system C_n (with equal multiplicities). By inversion we obtain an explicit expansion for two-row Macdonald polynomials of type C.

31 pages, LaTeX, to appear in Transformation Groups

References in corpus (5)

• Inversion of the Pieri formula for Macdonald polynomials
• Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture
• Scattering theory of discrete (pseudo) Laplacians on a Weyl chamber
• Recurrence formulas for Macdonald polynomials of type A
• Macdonald Polynomials and Multivariable Basic Hypergeometric Series

Cited by in corpus (5)

• Orientifolds and the Refined Topological String
• Orthogonality of Macdonald polynomials with unitary parameters
• A generalized Macdonald operator
• A Pieri formula for Macdonald's spherical functions and polynomials
• Kernel identities for van Diejen's $q$-difference operators and transformation formulas for multiple basic hypergeometric series