Perturbing rational harmonic functions by poles
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Publication:2339690
DOI10.1007/s40315-014-0083-xzbMath1311.31002arXiv1403.0906OpenAlexW3100896369WikidataQ57558432 ScholiaQ57558432MaRDI QIDQ2339690
Olivier Sète, Jörg Liesen, Robert Luce
Publication date: 2 April 2015
Published in: Computational Methods and Function Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.0906
Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) General questions in astronomy and astrophysics (85A04)
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About the cover: visualization of harmonic functions ⋮ Multiplane gravitational lenses with an abundance of images ⋮ The valence of harmonic polynomials viewed through the probabilistic lens ⋮ How constant shifts affect the zeros of certain rational harmonic functions ⋮ A note on the maximum number of zeros of \(r(z) - \overline{z}\) ⋮ Visual Exploration of Complex Functions ⋮ Sharp parameter bounds for certain maximal point lenses ⋮ A necessary condition for weak maximum modulus sets of 2-analytic functions ⋮ The maximum number of zeros of \(r(z) - \overline{z}\) revisited ⋮ Number and location of pre-images under harmonic mappings in the plane ⋮ The index of singular zeros of harmonic mappings of anti-analytic degree one ⋮ On the number of equilibria balancing Newtonian point masses with a central force ⋮ Creating images by adding masses to gravitational point lenses
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