Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Derivatives of the tree function   We study some sequences of polynomials that appear when we consider the
successive derivatives of the tree function (or Lambert's W function). We show
in particular that they are related with a generalization of Cayley trees,
called Greg trees. Besides the combinatorial result in itself, it is
interesting to see how this is related with previous work: similar problems
were considered first by Ramanujan, and more recently in the theory of
completely monotonic functions and its link with probability. Also of great
interest is the fact that these Greg trees were introduced in a problem of
textual criticism, as a kind a genealogical trees, where they had a priori no
mathematical meaning.

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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg