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math.CO2021
Interpolation polynomials, bar monomials, and their positivity
Yusra Naqvi, Siddhartha Sahi, Emily Sergel
We prove a positivity result for interpolation polynomials that was conjectured by Knop and Sahi. These polynomials were first introduced by Sahi in the context of the Capelli eige…
math.CO2018★ 1 cited
A combinatorial formula for certain binomial coefficients for Jack polynomials
Yusra Naqvi, Siddhartha Sahi
We present a decomposition of the generalized binomial coefficients associated with Jack polynomials into two factors: a stem, which is described explicitly in terms of hooks of th…
math.CO2014★ 1 cited
A product formula for certain Littlewood-Richardson coefficients for Jack and Macdonald polynomials
Yusra Naqvi
Jack polynomials generalize several classical families of symmetric polynomials, including Schur polynomials, and are further generalized by Macdonald polynomials. In 1989, Richard…