Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convolution identities for scale transformations of Appell polynomials   We obtain closed form expressions for convolutions of scale transformations
within a certain subset of Appell polynomials. This subset contains the
Bernoulli, Apostol-Euler, and Cauchy polynomials, as well as various kinds of
their generalizations, among others. We give a unified approach mainly based on
a probabilistic generalization of the Stirling numbers of the second kind.
Different illustrative examples, including reformulations of convolution
identities already known in the literature, are discussed in detail.

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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ph
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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: supr-con
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The categories of this paper are: nucl-ex
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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: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph