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Mathematical Sciences Classification System

34Mxx - Differential equations in the complex domain
[See also 30Dxx, 32G34]

• 2
  34M03
  Linear equations and systems
• 1
  34M05
  Entire and meromorphic solutions
• 34M10
  Oscillation, growth of solutions
• 3
  34M15
  Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical)
• 34M20
  Nonanalytic aspects
• 34M25
  Formal solutions, transform techniques
• 3
  34M30
  Asymptotics, summation methods
• 3
  34M35
  Singularities, monodromy, local behavior of solutions, normal forms
• 3
  34M40
  Stokes phenomena and connection problems (linear and nonlinear)
• 1
  34M45
  Differential equations on complex manifolds
• 3
  34M50
  Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.)
• 9
  34M55
  Painlevé and other special equations; classification, hierarchies;
• 2
  34M56
  Isomonodromic deformations
• 34M60
  Singular perturbation problems in the complex domain (complex WKB, turning points, steepest descent) [See also 34E20]
• 34M99
  None of the above, but in this section