Ullemar’s formula for the moment map, II
Copyright policy )Ullemar’s formula for the moment map, II
We establish the complex analogue of Ullemar's formula for polynomial domains. We show that the Jacobian of the complex moment mapping is equal to the self-resultant of the defining polynomial.
9 pages
Numerical Analysis, mirror conjugate, Algebra and Number Theory, Mathematics - Complex Variables, 30E05, 30C20, 44A60, 15A15, Moment problems and interpolation problems in the complex plane, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Resultants, moment map, FOS: Mathematics, Conformal mappings of special domains, Discrete Mathematics and Combinatorics, Moment map, resultants, Geometry and Topology, Complex Variables (math.CV), univalent polynomials, Univalent polynomials, Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane, Jacobian
Numerical Analysis, mirror conjugate, Algebra and Number Theory, Mathematics - Complex Variables, 30E05, 30C20, 44A60, 15A15, Moment problems and interpolation problems in the complex plane, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Resultants, moment map, FOS: Mathematics, Conformal mappings of special domains, Discrete Mathematics and Combinatorics, Moment map, resultants, Geometry and Topology, Complex Variables (math.CV), univalent polynomials, Univalent polynomials, Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane, Jacobian
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