International Scholarly Research Notices

Research Article

Series Prediction Based on Algebraic Approximants

Table 3

The case of 𝑁 = 2 , 𝑝 0 = 𝑝 1 = 𝑝 2 = 2 for (4.7). Displayed are the coefficients of the Taylor series, the predicted coefficients, and absolute and relative errors of the predicted coefficients.
𝑗 𝑓 𝑗 𝑎 𝑗 | 𝑓 𝑗 − 𝑎 𝑗 | Relative error (%)
8 3.888956 3.878509.010447.27
9 5.356681 5.301047.055634 1.04
10 7.451679 7.275227.176452 2.37
11 10.447061 10.006950.440111 4.21
12 14.739132 13.781978.957155 6.49
13 20.903268 18.995972 1.907297 9.12