Convergence of Two-point Padé Approximants to Piecewise Holomorphic Functions

@inproceedings{Yattselev2017ConvergenceOT,
  title={Convergence of Two-point Pad{\'e} Approximants to Piecewise Holomorphic Functions},
  author={Maxim L. Yattselev},
  year={2017}
}
Let f0 and f∞ be formal power series at the origin and infinity, and Pn/Qn, with deg(Pn), deg(Qn) 6 n, be a rational function that simultaneously interpolates f0 at the origin with order n and f∞ at infinity with order n + 1. When germs f0, f∞ represent multi-valued functions with finitely many branch points, it was shown by Buslaev [5] that there exists a… CONTINUE READING