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- W3102154044 abstract "We study the effect of constant shifts on the zeros of rational harmonic functions $$f(z) = r(z) - overline{z}$$ . In particular, we characterize how shifting through the caustics of f changes the number of zeros and their respective orientations. This also yields insight into the nature of the singular zeros of f. Our results have applications in gravitational lensing theory, where certain such functions f represent gravitational point-mass lenses, and a constant shift can be interpreted as the position of the light source of the lens." @default.
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- W3102154044 date "2018-05-16" @default.
- W3102154044 modified "2023-10-01" @default.
- W3102154044 title "How Constant Shifts Affect the Zeros of Certain Rational Harmonic Functions" @default.
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- W3102154044 doi "https://doi.org/10.1007/s40315-018-0240-8" @default.
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