Extensions of the well-poised and elliptic well-poised Bailey lemma
نویسندگان
چکیده
منابع مشابه
Shifted versions of the Bailey and well-poised Bailey lemmas
The Bailey lemma is a famous tool to prove Rogers-Ramanujan type identities. We use shifted versions of the Bailey lemma to derive mversions of multisum Rogers-Ramanujan type identities. We also apply this method to the Well-Poised Bailey lemma and obtain a new extension of the Rogers-Ramanujan identities.
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Several new multiple-integral representations are proved for well-poised hypergeometric series and integrals. The results yield, in particular, transformations of the multiple integrals that cannot be achieved by evident changes of variable. All this generalizes some classical results of Whipple and Bailey in analysis and, on the other hand, certain analytic constructions with known connection ...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 2003
ISSN: 0019-3577
DOI: 10.1016/s0019-3577(03)90061-9