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We apply the technique of self-similar exponential approximants based onsuccessive truncations of continued exponentials to reconstruct functional lawsof the quasi-exponential class from the knowledge of only a few terms of theirpower series. Comparison with the standard Pad\'e approximants shows that, ingeneral, the self-similar exponential approximants provide significantly betterreconstructions.Comment: Revtex file, 21 pages, 21 figure

RECONSTRUCTING GENERALIZED EXPONENTIAL LAWS BY SELF-SIMILAR EXPONENTIAL APPROXIMANTS