Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exceptional values in holomorphic families of entire functions   We study Picard's exceptional values of holomorphic one-parametric families
of entire functions. Our first result shows that the set of parameter values
for which zero is a Picard value can be an arbitrary closed set of zero
logarithmic capacity. This answers a question of Julia. Second, we show that if
a function has a Picard exceptional value for all values of parameter in some
region of the plane then this Picard value is a holomorphic function in the
complement of some discrete set E, tending to infinity as the papameter tends
to E.

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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph