Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A bibasic Heine transformation formula and Ramanujan's $_2\phi_1$
  transformations   We study Andrews and Berndt's organization of Ramanujan's transformation
formulas in Chapter 1 of their book Ramanujan's Lost Notebook, Part II. In the
process, we rediscover a bibasic Heine's transformation, which follows from a
Fundamental Lemma given by Andrews in 1966, and obtain identities proximal to
Ramanujan's entries. We also provide a multibasic generalization of Andrews'
1972 theorem concerning a $q$-analogue of the Lauricella function. Our results
only require the $q$-binomial theorem, and are an application of what Andrews
and Berndt call 'Heine's Method'.

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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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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: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ