中文

On the Bilateral Series $_2\psi_2$

组合数学 2007-05-23 v1 经典分析与常微分方程

摘要

We obtain a formula which reduces the evaluation of a 2ψ2_2\psi_2 series to two 2ϕ1_2\phi_1 series. In some sense, this identity may be considered as a companion of Slater's formulas. We also find that a two-term 2ψ2{}_2\psi_2 summation formula due to Slater can be derived from a unilateral summation formula of Andrews by bilateral extension and parameter augmentation.

关键词

引用

@article{arxiv.math/0701062,
  title  = {On the Bilateral Series $_2\psi_2$},
  author = {Vincent Y. B. Chen and William Y. C. Chen and Nancy S. S. Gu},
  journal= {arXiv preprint arXiv:math/0701062},
  year   = {2007}
}

备注

13 pages