Gårding polynomials form a new class strictly extending real stable polynomials, with equivalent characterizations via polarization and partial derivatives, and applications to matroid generating functions yielding new negative dependence results.
Polya-Schur master theorems for circular domains and their boundaries
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G{\aa}rding Polynomials
Gårding polynomials form a new class strictly extending real stable polynomials, with equivalent characterizations via polarization and partial derivatives, and applications to matroid generating functions yielding new negative dependence results.