Reconstructing Generalized Exponential Laws by Self-Similar Exponential   Approximants
  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. 
S. Gluzman, D. Sornette, and V. I. Yukalov