One-Parameter Meromorphic Solution of the Degenerate Third Painlev\'{e} Equation with Formal Monodromy Parameter $a=\pm i/2$ Vanishing at the Origin

Alexander V. Kitaev, A. H. Vartanian

Publication date: 26 May 2023

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Painlevé-type functions (33E17) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

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