34XX 


Ordinary differential equations 

34Mxx 

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


34M05 
Entire and meromorphic solutions 


34M10 
Oscillation, growth of solutions 


34M15 
Algebraic aspects (differentialalgebraic, hypertranscendence, grouptheoretical) 


34M20 
Nonanalytic aspects 


34M25 
Formal solutions, transform techniques 


34M30 
Asymptotics, summation methods 


34M35 
Singularities, monodromy, local behavior of solutions, normal forms 


34M37 
Resurgence phenomena 


34M40 
Stokes phenomena and connection problems (linear and nonlinear) 


34M45 
Differential equations on complex manifolds 


34M50 
Inverse problems (RiemannHilbert, inverse differential Galois, etc.) 


34M55 
PainlevĂ© and other special equations; classification, hierarchies; 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 