Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The asymptotics of a generalised Beta function   We consider the generalised Beta function introduced by Chaudhry {\it et
al.\/} [J. Comp. Appl. Math. {\bf 78} (1997) 19--32] defined by
\[B(x,y;p)=\int_0^1 t^{x-1} (1-t)^{y-1} \exp
\left[\frac{-p}{4t(1-t)}\right]\,dt,\] where $\Re (p)>0$ and the parameters $x$
and $y$ are arbitrary complex numbers. The asymptotic behaviour of $B(x,y;p)$
is obtained when (i) $p$ large, with $x$ and $y$ fixed, (ii) $x$ and $p$ large,
(iii) $x$, $y$ and $p$ large and (iv) either $x$ or $y$ large, with $p$ finite.
Numerical results are given to illustrate the accuracy of the formulas
obtained.

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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: cs
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ph
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat