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arXiv:2207.11495 [math.CA]AbstractReferencesReviewsResources

Boutroux ansatz for the degenerate third Painlevé transcendents

Shun Shimomura

Published 2022-07-23, updated 2022-09-20Version 2

For a general solution of the degenerate third Painlev\'e equation we show the Boutroux ansatz near the point at infinity. It admits an asymptotic representation in terms of the Weierstrass pe-function in cheese-like strips along generic directions. The expression is obtained by using isomonodromy deformation of a linear system governed by the degenerate third Painlev\'e equation.

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