A scaling method for asymptotic analysis of power series

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, , Citation F Igloi 1986 J. Phys. A: Math. Gen. 19 3077 DOI 10.1088/0305-4470/19/15/029

0305-4470/19/15/3077

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.

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10.1088/0305-4470/19/15/029