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Critical point phenomena 1 Extrapolation and interpolation methods 1 Self-similar approximation theory 1 Summation of power series 1
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Gluzman, S. 1 Sornette, D. 1 Yukalov, V.I. 1
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Physica A: Statistical Mechanics and its Applications 1
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Summation of power series by self-similar factor approximants
Yukalov, V.I.; Gluzman, S.; Sornette, D. - In: Physica A: Statistical Mechanics and its Applications 328 (2003) 3, pp. 409-438
A novel method of summation for power series is developed. The method is based on the self-similar approximation theory. The trick employed is in transforming, first, a series expansion into a product expansion and in applying the self-similar renormalization to the latter rather to the former....
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