Michael J. Schlosser
A new multivariable
6Ψ6
summation formula
(16 pages)
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 then extended,
by analytic continuation, to a new multivariable extension
of Bailey's very-well-poised 6Ψ6
summation formula.
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