On the number of solutions of a transcendental equation arising in the theory of gravitational lensing

DOI10.1007/BF03321770zbMath1198.31002arXiv0908.4595MaRDI QIDQ977102

Walter Bergweiler, Alexandre Eremenko

Publication date: 17 June 2010

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.4595

zbMATH Keywords

harmonic mapgravitational lensing

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) General questions in astronomy and astrophysics (85A04)

Related Items (8)

Multiplane gravitational lenses with an abundance of images ⋮ On the number of solutions of some transcendental equations ⋮ A Survey on the Maximal Number of Solutions of Equations Related to Gravitational Lensing ⋮ An upper bound for the number of gravitationally lensed images in a multiplane point-mass ensemble ⋮ Spiral galaxy lensing: a model with twist ⋮ Green’s function and anti-holomorphic dynamics on a torus ⋮ Number and location of pre-images under harmonic mappings in the plane ⋮ A note on the critical points of the localization landscape

Cites Work

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• On the number of zeros of certain rational harmonic functions
• Local Properties of Light Harmonic Mappings
• Iteration of a class of hyperbolic meromorphic functions
• Iteration of meromorphic functions
• On the number of zeros of certain harmonic polynomials
• The Argument Principle for Harmonic Functions

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