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  • 34-XX Ordinary differential equations
  • 34Mxx Differential equations in the complex domain
  • 34M05 Entire and meromorphic 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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Distributional and entire solutions of ordinary differential and functional differential equations.

Shah, S.M., Wiener, Joseph (1983)

International Journal of Mathematics and Mathematical Sciences

Double exponential estimate for the number of zeros of complete Abelian integrals and rational envelopes of linear ordinary differential equations with an irreducible monodromy group.

Yulii Il'yashenko, Sergei Yakovenko (1995)

Inventiones mathematicae

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