On the solution of a third order linear homogeneous difference equation with variable coefficents

Abstract

A closed form solution of a third order linear homogeneous difference equation with variable coefficients is presented. From it, the solution for the special case of an equation with constant coefficients is also obtained.

Keywords:

• Third order linear homogeneous difference equation
• Linear recurrence
• Variable coefficients
• Closed form solution

AMS Subject Classification:

• Difference equations (no. 39A10)

^∗Tel. [phone]. 548777, Fax [phone] [email protected].

^∗Tel. [phone]. 548777, Fax [phone] [email protected].

Notes

^∗Tel. [phone]. 548777, Fax [phone] [email protected].