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- W2051156784 abstract "We show that a family $mathcal{F}$ of analytic functions in the unit disk ${mathbb{D}}$ all of whose zeros have multiplicity at least k and which satisfy a condition of the form $$f^n(z)f^{(k)}(xz)ne1$$ for all $zin{mathbb{D}}$ and $finmathcal{F}$ (where n≥3, k≥1 and 0<|x|≤1) is normal at the origin. The proof relies on a modification of Nevanlinna theory in combination with the Zalcman–Pang rescaling method. Furthermore we prove the corresponding Picard-type theorem for entire functions and some generalizations." @default.
- W2051156784 created "2016-06-24" @default.
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- W2051156784 date "2012-04-01" @default.
- W2051156784 modified "2023-09-26" @default.
- W2051156784 title "A normality criterion involving rotations and dilations in the argument" @default.
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- W2051156784 doi "https://doi.org/10.1007/s11512-011-0144-6" @default.
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