REDUCTION OF THE MODIFIED POINCARE DIFFERENTIAL EQUATION TO BIRKHOFF MATRIX FORM

Ice B. Risteski

Address. 2 Milepost Place # 606, Toronto, M4H 1C7, Ontario, CANADA

E-mail: iceristeski@hotmail.com

Abstract. In this paper the reduction of the modified Poincar\'e linear differential equation with one $n$-tuple regular singularity to the Birkhoff canonical matrix form is given.

AMSclassification. Primary 34A30, Secondary 15A18

Keywords. Reduction, modified Poincar\' e differential equation, Birkhoff matrix form.