Geodesic
Generalized hypergeometric systems and the fifth and sixth Painlev\'e equations
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2010), pp. 3-10

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This paper concerns (generalized) hypergeometric systems associated with the fifth and sixth Painlevé equations, which are the second order nonlinear ordinary differential equations. The Painlevé equations govern monodromy preserving deformations of certain second order linear scalar equations. We reduce these scalar equations to generalized hypergeometric systems. 
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     author = {Galina Filipuk},
     title = {Generalized hypergeometric systems and the fifth and sixth {Painlev\'e} equations},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
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Galina Filipuk. Generalized hypergeometric systems and the fifth and sixth Painlev\'e equations. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2010), pp. 3-10. http://geodesic.mathdoc.fr/item/BASM_2010_3_a0/