Self-similarly corrected Padé approximants for the indeterminate problem

@article{Gluzman2015SelfsimilarlyCP,
  title={Self-similarly corrected Pad{\'e} approximants for the indeterminate problem},
  author={Simon Gluzman and Vyacheslav I. Yukalov},
  journal={The European Physical Journal Plus},
  year={2015},
  volume={131},
  pages={1-21}
}
Abstract.A method is suggested for treating the well-known deficiency in the use of Padé approximants that are well suited for approximating rational functions, but confront problems in approximating irrational functions. We develop the approach of self-similarly corrected Padé approximants, making it possible to essentially increase the class of functions treated by these approximants. The method works well even in those cases where the standard Padé approximants are not applicable, resulting… 

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