Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two Parameter Gamma Function and its Properties   In this paper we introduce the Two Parameter Gamma Function, Beta Function
and Pochhammer Symbol. We named them, as p - k Gamma Function, p - k Beta
Function and p - k Pochhammer Symbol and denoted as $_{p}\Gamma_{k}(x), $
$_{p}B_{k}(x,y) $ and $_{p}(x)_{n,k} $ respectively. We prove the several
identities for $_{p}\Gamma_{k}(x), $ $_{p}B_{k}(x,y) $ and $_{p}(x)_{n,k} $
those satisfied by the classical Gamma, Beta and Pochhammer Symbol. Also we
provide the integral representation for the $_{p}\Gamma_{k}(x) $ and
$_{p}B_{k}(x,y) $.

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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin