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math.CA2000★ 16 cited
Elementary derivations of identities for bilateral basic hypergeometric series
M. Schlosser
We give elementary derivations of several classical and some new summation and transformation formulae for bilateral basic hypergeometric series. For purpose of motivation, we revi…
math.CA2000★ 9 cited
A new A_n extension of Ramanujan's 1-psi-1 summation with applications to multilateral A_n series
S. C. Milne, M. Schlosser
In this article, we derive some identities for multilateral basic hypergeometric series associated to the root system A_n. First, we apply Ismail's argument to an A_n q-binomial th…
math.CA2000★ 32 cited
A simple proof of Bailey's very-well-poised 6-psi-6 summation
M. Schlosser
We give elementary derivations of some classical summation formulae for bilateral (basic) hypergeometric series. In particular, we apply Gauss' 2-F-1 summation and elementary serie…