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- Fahd Jrad, Uǧurhan Muğan
- 2005

Painlevé and his school [1 – 3] studied the certain class of second order ordinary differential equations (ODEs) and found fifty canonical equations whose solutions have no movable critical points. This property is known as the Painlevé property. Distinguished among these fifty equations are six Painlevé equations, PI – PVI. The six Painlevé transcendents… (More)

- Uğurhan MUĞAN
- 2001

Starting from the second Painlevé equation, we obtain Painlevé type equations of higher order by using the singular point analysis.

- Yasin Adjabi, Fahd Jrad, Arezki Kessi, Ugurhan Mugan
- Applied Mathematics and Computation
- 2009

We consider a class of third order homogenous differential equation whose coefficients are analytic functions of the complex variable. We find necessary and sufficient conditions about the coefficients in order that the only movable singularities of the solutions may be poles.

- Uğurhan Muğan, Fahd Jrad
- 2004

Painlevé and his school [1 – 3] studied a certain class of second order ordinary differential equations (ODE’s) and found fifty canonical equations whose solutions have no movable critical points. This property is known as the Painlevé property. Distinguished among these fifty equations are six Painlevé equations, PI-PVI, which are regarded as nonlinear… (More)

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