• Corpus ID: 239024879

Meromorphy of solutions for a wide class of ordinary differential equations of Painlev\'e type

  title={Meromorphy of solutions for a wide class of ordinary differential equations of Painlev\'e type},
  author={A. V. Domrin and M. A. Shumkin and Bulat Irekovich Suleimanov},
where z0, a and b are any complex constants. The Painlevé ODE are currently being applied to a wide variety of problems in mathematics and mathematical physics. But the problem of rigorously proving the absence of nonpolar movable singularities of their solutions turned out to be difficult. Original proofs by Painlevé and his followers appeared to be incomplete. Gaps were also found in a number of subsequent attempts to give a satisfying proof. The meromorphy of all solutions of the simplest… 


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