Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Wiman-Valiron theory for a polynomial series based on the Askey-Wilson
  operator   We establish a Wiman-Valiron theory of a polynomial series based on the
Askey-Wilson operator $\mathcal{D}_q$, where $q\in(0,1)$. For an entire
function $f$ of log-order smaller than $2$, this theory includes (i) an
estimate which shows that $f$ behaves locally like a polynomial consisting of
the terms near the maximal term of its Askey-Wilson series expansion, and (ii)
an estimate of $\mathcal{D}_q^n f$ compared to $f$. We then apply this theory
in studying the growth of entire solutions to difference equations involving
the Askey-Wilson operator.

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The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph