论文标题
$ {} _ {8}ψ_{8} $和$ {} _ {8} w_ {7} $系列与WeierStrass的Theta Identity关联的两个新的转换公式
Two new transformation formulas for ${}_{8}ψ_{8}$ and ${}_{8}W_{7}$ series associated with Weierstrass' theta identity
论文作者
论文摘要
在本文中，我们为$ {} _ {} _ {8}ψ_{8} $和$ {} _ 8ϕ_7 $系列建立了两个新的转换公式，该公式是通过Slater的双侧系列转换。作为应用程序，其中提出了一些特定的转换公式，其中包括Weierstrass的Theta身份的一般形式以及Bailey的VWP $ {} _6ψ_6$的新证明和杰克逊的$ {} _ 8d ϕ_7 $ sumperation formula。
In this paper, we establish two new transformation formulas for ${}_{8}ψ_{8}$ and ${}_8ϕ_7$ series by means of Slater's general transformation for bilateral series. As applications, some specific transformation formulas are presented among which include a general form of Weierstrass' theta identity and new proofs of Bailey's VWP ${}_6ψ_6$ and Jackson's ${}_8ϕ_7$ summation formula.
