Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complete and incomplete Bell polynomials associated with Lah-Bell
  numbers and polynomials   The nth r-extended Lah-Bell number is defined as the number of ways a set
with $n+r$ elements can be partitioned into ordered blocks such that r
distinguished elements have to be in distinct ordered blocks. The aim of this
paper is to introduce incomplete r-extended Lah-Bell polynomials and complete
$r$-extended Lah-Bell polynomials respectively as multivariate versions of
$r$-Lah numbers and the r-extended Lah-Bell numbers and to investigate some
properties and identities for these polynomials. From these investigations, we
obtain some expressions for the r-Lah numbers and the r-extended Lah-Bell
numbers as finite sums.

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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
3
The categories of this paper are: physics
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The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys