abstract
in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving
differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.
