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.
How to Cite
(1)
Hoyenko N., Hladun V., Manzij O. On the Infinite Remains of the Nörlund Branched Continued Fraction for Appell Hypergeometric Functions. Carpathian Math. Publ. 2014, 6 (1), 11-25.