Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Yet another basic analogue of Graf's addition formula   An identity involving basic Bessel functions and Al-Salam--Chihara
polynomials is proved for which we recover Graf's addition formula for the
Bessel function as the base $q$ tends to $1$. The corresponding product formula
is derived. Some known identities for Jackson's $q$-Bessel functions are
obtained as limiting cases. As special cases we prove identities for
$q$-Charlier polynomials.

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The categories of this paper are: cs
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
19
The categories of this paper are: eess
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The categories of this paper are: stat
29
The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin