Reconstructing Generalized Exponential Laws by Self-Similar Exponential Approximants

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 Padé approximants shows that, in general, the self-similar exponential approximants provide significantly better reconstructions.

Revtex file, 21 pages, 21 figures

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