Reconstructing Generalized Exponential Laws by Self-Similar Exponential Approximants

Details Reconstructing Generalized Exponential Laws by Self-Similar Exponential Approximants Reconstructing Generalized Exponential Laws by Self-Similar Exponential Approximants

2002-04-15

arxiv.org/abs/cond-mat/0204326v1

International Journal of Modern Physics C 14 (4), 509-528 (2003)

Physics

Condensed Matter

Revtex file, 21 pages, 21 figures

Scientific paper

10.1142/S012918310300470X

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.

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