A new multivariable 6-psi-6 summation formula
Classical Analysis and ODEs
2019-02-22 v1
Abstract
By multidimensional matrix inversion, combined with an A_r extension of Jackson's 8-phi-7 summation formula by Milne, a new multivariable 8-phi-7 summation is derived. By a polynomial argument this 8-phi-7 summation is transformed to another multivariable 8-phi-7 summation which, by taking a suitable limit, is reduced to a new multivariable extension of the nonterminating 6-phi-5 summation. The latter is then extended, by analytic continuation, to a new multivariable extension of Bailey's very-well-poised 6-psi-6 summation formula.
Keywords
Cite
@article{arxiv.math/0607122,
title = {A new multivariable 6-psi-6 summation formula},
author = {Michael Schlosser},
journal= {arXiv preprint arXiv:math/0607122},
year = {2019}
}
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16 pages