Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: High-order derivatives of the Bessel functions with an application   We determine the asymptotic behaviour of the $n$th derivatives of the Bessel
functions $J_\nu(a)$ and $K_\nu(a)$, where $a$ is a fixed positive quantity, as
$n\to\infty$. These results are applied to the asymptotic evaluation of two
incomplete Laplace transforms of these Bessel functions on the interval $[0,a]$
as the transform variable $x\to+\infty$. Similar evaluation of the integrals
involving the Bessel functions $Y_\nu(t)$ and $I_\nu(t)$ is briefly mentioned.

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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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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: chao-dyn
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The categories of this paper are: patt-sol