A new multivariable 6 ψ 6 summation formula
نویسندگان
چکیده
منابع مشابه
A New Multivariable 6ψ6 Summation Formula
Abstract. By multidimensional matrix inversion, combined with an Ar extension of Jackson’s 8φ7 summation formula by Milne, a new multivariable 8φ7 summation is derived. By a polynomial argument this 8φ7 summation is transformed to another multivariable 8φ7 summation which, by taking a suitable limit, is reduced to a new multivariable extension of the nonterminating 6φ5 summation. The latter is ...
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Lucy Slater used Bailey’s 6ψ6 summation formula to derive the Bailey pairs she used to construct her famous list of 130 identities of the Rogers-Ramanujan type. In the present paper we apply the same techniques to Chu’s 10ψ10 generalization of Bailey’s formula to produce quite general Bailey pairs. Slater’s Bailey pairs are then recovered as special limiting cases of these more general pairs. I...
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Acknowledgements I thank Dick Askey, Bruce Berndt, Susanna Fishel, Jeff Lagarias and Michael Schlosser for their helpful correspondence. Notation. It is impossible to give an account of the 1ψ1 summation without introducing some q-series notation. To keep the presentation as simple as possible, we assume that 0 < q < 1. Suppressing q-dependence, we define two q-shifted factorials: (a)∞ := ∏∞ k=...
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ژورنال
عنوان ژورنال: The Ramanujan Journal
سال: 2007
ISSN: 1382-4090,1572-9303
DOI: 10.1007/s11139-007-9017-9