Min Huang

most citedProof of the Dubrovin conjecture and analysis of the tritronquée solutions of

P_{I}

42 citations · 42 across the 2 of their papers we have counts for

collaborators

2 papers

math.CA2012★ 42 cited

Proof of the Dubrovin conjecture and analysis of the tritronquée solutions of $P_{I}$

O. Costin, M. Huang, S. Tanveer

We show that the tritronquée solution of the Painlevé equation $¶1$ , $y " = 6 y^{2} + z$ which is analytic for large $z$ with $ar g z \in (- \frac{3 π}{5}, π)$ is pole-free in a region co…

math.CV2008

Behavior of lacunary series at the natural boundary

O. Costin, M. Huang

We develop a local theory of lacunary Dirichlet series of the form $k = 1 \sum \infty c_{k} exp (- z g (k)), ℜ (z) > 0$ as $z$ approaches the boundary $i\RR$, under the assumption…

Proof of the Dubrovin conjecture and analysis of the tritronquée solutions of PI​

Behavior of lacunary series at the natural boundary

Proof of the Dubrovin conjecture and analysis of the tritronquée solutions of $P_{I}$