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  • 34-XX Ordinary differential equations
  • 34Mxx Differential equations in the complex domain
  • 34M10 Oscillation, growth of solutions

34Mxx Differential equations in the complex domain

  • 34M03 Linear equations and systems
  • 34M05 Entire and meromorphic solutions
  • 34M10 Oscillation, growth of solutions
  • 34M15 Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical)
  • 34M25 Formal solutions, transform techniques
  • 34M30 Asymptotics, summation methods
  • 34M35 Singularities, monodromy, local behavior of solutions, normal forms
  • 34M40 Stokes phenomena and connection problems (linear and nonlinear)
  • 34M45 Differential equations on complex manifolds
  • 34M50 Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.)
  • 34M55 Painlevé and other special equations; classification, hierarchies;
  • 34M56 Isomonodromic deformations
  • 34M60 Singular perturbation problems in the complex domain (complex WKB, turning points, steepest descent)
  • 34M99 None of the above, but in this section
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Boutroux's method vs. re-scaling. Lower estimates for the orders of growth of the second and fourth Painlevé transcendents.

Steinmetz, Norbert (2004)

Portugaliae Mathematica. Nova Série

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