Differential Operators and Weighted Isobaric Polynomials
Trueman MacHenry, Geanina Tudose
Abstract
We characterize those sequences of weighted isobaric polynomials as defined in math.CO/0106213 which belong to the kernel of the linear operator D11 - Σj=1k aj tj D2j - mD2, and we characterize those linear operators of this form in terms of the coefficients aj which have a non-zero kernel.
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