中文

A new multivariable 6-psi-6 summation formula

经典分析与常微分方程 2019-02-22 v1

摘要

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.

关键词

引用

@article{arxiv.math/0607122,
  title  = {A new multivariable 6-psi-6 summation formula},
  author = {Michael Schlosser},
  journal= {arXiv preprint arXiv:math/0607122},
  year   = {2019}
}

备注

16 pages