Expansion Formulas of Basic Hypergeometric Series via the (1-xy,y-x)--Inversion and Its Applications

Jin Wang, Xinrong Ma

With the use of the $(f,g)$-matrix inversion under specializations that $f=1-xy,g=y-x$, we establish an $(1-xy,y-x)$-expansion formula. When specialized to basic hypergeometric ser…