Inhomogeneous q-Whittaker polynomials form a basis for an extended commutative ring of symmetric functions and admit positive specializations related to a subset of Macdonald-positive ones, yielding associated probability distributions.
Orthogonality of spinq-Whittaker polynomials.preprint, 2025.arXiv:2502.00478
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Inhomogeneous $q$-Whittaker polynomials II: ring theorem and positive specializations
Inhomogeneous q-Whittaker polynomials form a basis for an extended commutative ring of symmetric functions and admit positive specializations related to a subset of Macdonald-positive ones, yielding associated probability distributions.