Michael J. Schlosser
A multidimensional generalization of Shukla's
We give an r-dimensional generalization of H. S. Shukla's
very-well-poised 8ψ8 summation formula.
We work in the setting of multiple basic hypergeometric series
very-well-poised over the root system Ar-1,
or equivalently, the unitary group U(r). Our proof,
which is already new in the one-dimensional case, utilizes an
very-well-poised 6φ5 summation by
S. C. Milne,
a partial fraction decomposition, and analytic continuation.
The following versions are available:
Back to Michael Schlosser's