Meromorphic Solution of the Degenerate Third Painlevé Equation Vanishing at the Origin

Published 1 Sep 2018 in math.CA | (1809.00122v5)

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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Authors (1)

Alexander V. Kitaev

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