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arXiv · 1809.00122

Meromorphic Solution of the Degenerate Third Painlev\'e Equation Vanishing at the Origin

Alexander V. Kitaev
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Abstract

We prove that there exists the unique odd meromorphic solution of dP3, $u(\tau)$ such that $u(0)=0$, and study some of its properties, mainly: the coefficients of its Taylor expansion at the origin and asymptotic behaviour as $\tau\to+\infty$.

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Alexander V. Kitaev. 2018-09-01. Meromorphic Solution of the Degenerate Third Painlev\'e Equation Vanishing at the Origin. https://doi.org/10.3842/sigma.2019.046

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