Polynomial parametrisation of the canonical iterates to the solution of $-\gamma g'= g^-1$
<|reference_start|>Polynomial parametrisation of the canonical iterates to the solution of $-\gamma g'= g^-1$: The iterates $h_0,h_1,h_2,\dotsc$ constructed in [8,5] and converging to the only solution $g=h\colon[0,1]\to[0,1]$ of the iterative differential equation $-\gamma g'= g^{-1}$, $\gamma>0$, are parametrised by polynomials over $\Bbb Q$, and the corresponding constant $\gamma=\kappa\approx0.278877$ is estimated by rational numbers.<|reference_end|>
@article{miyamoto2024polynomial,
    title={Polynomial parametrisation of the canonical iterates to the solution of
  $-\gamma g'= g^{-1}$},
    author={Roland Miyamoto},
    journal={arXiv preprint arXiv:2402.06618},
    year={2024},
    archivePrefix={arXiv},
    eprint={2402.06618},
    primaryClass={math.CO cs.NA math.CA math.NA}
}