Tosun, Kürşad2016-07-012016-07-012004http://hdl.handle.net/11693/29558Cataloged from PDF version of article.With the help of the Schlesinger transformations, we obtain the B¨acklund transformations of the classical continuous Painlev´e equations (PII-PVI). Then using these B¨acklund transformations we derived the corresponding discrete equations. The main idea in obtaining these equations is to eliminate y 0 from the B¨acklund transformations, Ti and Tj , in such a way that Ti ◦ Tj = Tj ◦ Ti = I. Then we obtain an algebraic relation between yi , y and yj . This algebraic relation can be considered as as a discrete equation of the Painlev´e type.vii, 72 leavesEnglishinfo:eu-repo/semantics/openAccessPainlev´e EquationDiscrete Painlev´e EquationsSchlesinger TransformationB¨acklund TransformationQC20.7.D5 T67 2004Painleve equations.ThesisBILKUTUPB084146