A scaling method for asymptotic analysis of power series
- 21 October 1986
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 19 (15) , 3077-3086
- https://doi.org/10.1088/0305-4470/19/15/029
Abstract
A new method is proposed for asymptotic analysis of power series. In the method the author uses the relation that an n-term power series of a singular quantity with critical exponent beta behaves asymptotically like n- beta at the phase transition point. The method is tested on known series with satisfactory results and used to analyse the power series of the two-dimensional three-state Potts model of Enting, in good agreement with den Nijs' conjecture.Keywords
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