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      First-order second-degree equations related with Painlevé equations

      Sakka, A. H.; Mugan, Ugurhan (World Academic Union (World Academic Press), 2009)
      The first-order second-degree equations satisfying the Fuchs theorem concerning the absence of movable critical points, related with Painlev´e equations, and one-parameter families of solutions which solve the first-order ...
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      Second-order fourth-degree Painlevé-type equations

      Sakka, A. (IOP Publishing, 2001-01-26)
      Transformations that involve a Fuchsian-type equation are used to obtain one-to-one correspondence between the Painlevé I-IV equations and certain second-order fourth-degree Painlevé-type equations.