English

Reconstructing Generalized Exponential Laws by Self-Similar Exponential Approximants

Condensed Matter 2009-11-07 v1

Abstract

We apply the technique of self-similar exponential approximants based on successive truncations of continued exponentials to reconstruct functional laws of the quasi-exponential class from the knowledge of only a few terms of their power series. Comparison with the standard Pad\'e approximants shows that, in general, the self-similar exponential approximants provide significantly better reconstructions.

Cite

@article{arxiv.cond-mat/0204326,
  title  = {Reconstructing Generalized Exponential Laws by Self-Similar Exponential Approximants},
  author = {S. Gluzman and D. Sornette and V. I. Yukalov},
  journal= {arXiv preprint arXiv:cond-mat/0204326},
  year   = {2009}
}

Comments

Revtex file, 21 pages, 21 figures

R2 v1 2026-07-22T10:36:04.263Z