تفاصيل الرسالة العلمية

In this thesis, we studay the following two systems of two difference equations theoretically as well numerically (?(x_(n+1)@y_(n+1) ))=(?(x_n/(x_n+r)@(x_(n-1) y_n)/(x_(n-1) y_n+r))) (?(x_(n+1)@y_(n+1) ))=(?(x_n/(x_n+r)@y_n/(x_(n-1) y_n+r))) with initial values x_0=c, ? x?_(n-1)=a, y_(n-1)=b, ? y?_0=d. where r is a fixed real number. We determine the form of the general solution for this system in the following cases r =1,-1. By doing this we encounter a special functions such as the gamma functions ,psi functions