34Mxx Differential equations in the complex domain [See also 30Dxx, 32G34]
 34M03 Linear equations and systems
 34M05 Entire and meromorphic solutions
 34M10 Oscillation, growth of solutions
 34M15 Algebraic aspects (differentialalgebraic, hypertranscendence, grouptheoretical)
 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)
(1)
 34M45 Differential equations on complex manifolds
 34M50 Inverse problems (RiemannHilbert, 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) [See also 34E20]
 34M99 None of the above, but in this section