RECONSTRUCTING GENERALIZED EXPONENTIAL LAWS BY SELF-SIMILAR EXPONENTIAL APPROXIMANTS

S. Gluzman, D. Sornette and V. I. Yukalov
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S. Gluzman: Institute of Geophysics and Planetary Physics, University of California, Los Angeles, California 90095, USA
D. Sornette: Institute of Geophysics and Planetary Physics, University of California, Los Angeles, California 90095, USA;
V. I. Yukalov: Research Center for Optics and Photonics, Instituto de Fisica de São Carlos, Universidade de São Paulo, Caixa Postal 369, São Carlos, São Paulo 13560-970, Brazil;

International Journal of Modern Physics C (IJMPC), 2003, vol. 14, issue 04, 509-527

Abstract: We apply the technique of self-similar exponential approximants based on successive truncations of simple 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.

Keywords: Superexponential approximants; resummation; Euler series; Padé approximants; functional renormalization (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1142/S012918310300470X

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