Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Symbolic Treatment of Riordan Arrays   We approach Riordan arrays and their generalizations via umbral symbolic
methods. This new approach allows us to derive fundamental aspects of the
theory of Riordan arrays as immediate consequences of the umbral version of the
classical Abel's identity for polynomials. In particular, we obtain a novel
non-recursive formula for Riordan arrays and derive, from this new formula,
some known recurrences and a new recurrence relation for Riordan arrays.

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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: eess