215 citations · 807 across the 39 of their papers we have counts for
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q-alg1996★ 141 cited
Difference equations and symmetric polynomials defined by their zeros
Friedrich Knop, Siddhartha Sahi
In this paper, we introduce a new family of symmetric polynomials which depends on a parameter r. They are defined by specifying certain of their zeros. For the parameter values 1/…
q-alg1996★ 215 cited
A recursion and a combinatorial formula for Jack polynomials
Friedrich Knop, Siddhartha Sahi
Heckman and Opdam introduced a non-symmetric analogue of Jack polynomials using Cherednik operators. In this paper, we derive a simple recursion formula for these polynomials and f…
q-alg1996★ 91 cited
Symmetric and non-symmetric quantum Capelli polynomials
Friedrich Knop
We define a family of symmetric and a family of non-symmetric polynomials in terms of vanishing conditions. These families depend on two paramters, q and t. Their main feature is t…