On the infinite remains of the Nörlund branched continued fraction for Appell hypergeometric functions

Authors

  • N.P. Hoyenko Institute for Applied Problems of Mechanics and Mathematics, 3b Naukova str., 79060, Lviv, Ukraine
  • V.R. Hladun Lviv Polytechnic National University, 12 Bandera str., 79013, Lviv, Ukraine
  • O.S. Manzij Lviv Polytechnic National University, 12 Bandera str., 79013, Lviv, Ukraine
https://doi.org/10.15330/cmp.6.1.11-25

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 {(z1,z2)∈C2:|zj|≤r,j=1,2}, 0<r<1/8, in case of arbitrary parameters of Appell hypergeometric function.

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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, 11-25.