215 citations · 550 across the 60 of their papers we have counts for
Showing 1996 · q-algShow all
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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★ 7 cited
A new scalar product for nonsymmetric Jack polynomials
Siddhartha Sahi
Symmetric Jack polynomials arise naturally in several contexts, including statistics, physics, combinatorics, and representation theory. They are pairwise orthogonal with repsect t…