There exist many situations where an ordinary differential equation admits a movable critical singularity which the test of Kowalevski and Gambier fails to detect. Some possible reasons are : existence of negative Fuchs indices, insufficient number of Fuchs indices, multiple family, absence of an algebraic leading order. Mainly giving examples, we present the methods which answer all these ques...

3. Cole FE, Gladden KM. Bennett Di, Erwin DT: Human 9. Tovo PA, Gabiano C, Riva C, Pabomba E, Valpreda A, Musso A: Specific antibody and virus antigen expression in congenital HIV infection. Lancet 1:1201, 1987 10. Eberhartinger Chr, Simader R: Akute AIDS-retrovirusinfektion. Wien Klin Wochenschr 1:18, 1987 1 1 . Tilg H, Mangreiter R, Scniba M, Marth Ch, Niederwieser D, Aulitzky W, Spielberger ...

OBJECTIVE To review 30 years' clinical experience with Fuchs corneal endothelial dystrophy leading to penetrating keratoplasty (PK). METHODS We reviewed the clinical records of patients diagnosed histopathologically as having Fuchs corneal endothelial dystrophy who underwent PK at Duke University Medical Center between January 1, 1972, and December 31, 2001. This observational case series inc...

We found Fuchs–Garnier pairs in 3×3 matrices for the first and second Painlevé equations which are linear in the spectral parameter. As an application of our pairs for the second Painlevé equation we use the generalized Laplace transform to derive an invertible integral transformation relating two its Fuchs–Garnier pairs in 2×2 matrices with different singularity structures, namely, the pair du...

Five dimensional supersymmetric gauge theory compactified on a circle defines an effective N = 2 supersymmetric theory for massless fields in four dimensions. Based on the relativistic Toda chain Hamiltonian proposed by Nekrasov, we derive the Picard-Fuchs equation on the moduli space of the Coulomb branch of SU(2) gauge theory. Our Picard-Fuchs equation agrees with those from other approaches;...