On the infinite remains of the Nörlund branched continued fraction for Appell hypergeometric functions
Keywords:
Appell hypergeometric function, branched continued fraction
Published online:
2014-07-19
Abstract
The correspondence, convergence and stability to perturbations of the infinite remains of the Nörlund branched continued fraction are investigated in a poly-disc $\{ (z_1,z_2)\in \mathbb{C}^2: |z_j|\leq r, j=1,2\}$, $0<r<1/8$, in case of arbitrary parameters of Appell hypergeometric function.