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Factorisations of the Helmholtz Operator, Radó’s Theorem, and Clifford Analysis
Radó’s theorem for holomorphic functions asserts that if a continuous function is holomorphic on the complement of its zero locus, then it is...
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Phase Diagrams of Meromorphic Functions
The paper demonstrates the use of phase diagrams as tools for visualizing and exploring meromorphic functions. With any such function
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Inversion of Analytic Functions via Canonical Polynomials: A Matrix Approach
An alternative to Lagrange inversion for solving analytic systems is our technique of dual vector fields. We implement this approach using matrix...
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Atoms and regularity for measures in a partially defined free convolution semigroup
Consider a Borel probability measure μ on the real line, and denote by { μ t : t ≥1} the free additive convolution semigroup defined by Nica and...
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Ordinary and strong density continuity of complex analytic functions
In the paper we prove that the complex analytic functions are (ordinarily) density continuous. This stays in contrast with the fact that even such a...
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An inequality estimating the rate of decrease of the best approximation error of a function by trigonometric or algebraic polynomials in dependence...
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