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- W1494904555 abstract "Extending a result of Khavinson and Åwia̧tek (2003) we show that the rational harmonic function $overline {r(z)} - z$, where $r(z)$ is a rational function of degree $n > 1$, has no more than $5n - 5$ complex zeros. Applications to gravitational lensing are discussed. In particular, this result settles a conjecture by Rhie concerning the maximum number of lensed images due to an $n$-point gravitational lens." @default.
- W1494904555 created "2016-06-24" @default.
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- W1494904555 date "2005-07-25" @default.
- W1494904555 modified "2023-09-26" @default.
- W1494904555 title "On the number of zeros of certain rational harmonic functions" @default.
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- W1494904555 doi "https://doi.org/10.1090/s0002-9939-05-08058-5" @default.
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