Geodesic
Boutroux's method vs. re-scaling. Lower estimates for the orders of growth of the second and fourth Painlevé transcendents.
Portugaliae mathematica, Tome 61 (2004) no. 3, pp. 369-374.

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Keywords: Painlevé differential equations, order of growth, re-scaling, Boutroux's method 
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     author = {Steinmetz, Norbert},
     title = {Boutroux's method vs. re-scaling. {Lower} estimates for the orders of growth of the second and fourth {Painlev\'e} transcendents.},
     journal = {Portugaliae mathematica},
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     publisher = {mathdoc},
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     year = {2004},
     zbl = {1080.34074},
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Steinmetz, Norbert. Boutroux's method vs. re-scaling. Lower estimates for the orders of growth of the second and fourth Painlevé transcendents.. Portugaliae mathematica, Tome 61 (2004) no. 3, pp. 369-374. http://geodesic.mathdoc.fr/item/PORMA_2004__61_3_52043/