SOME APPLICATIONS OF SYMMETRIC FUNCTIONS

摘要

In this paper, we propose an alternative approach for the determination of the Fibonacci numbers and some results of Foata, Ramanujan and other results on Tchebychev polynomials of the first and second kinds. This approach is based on the action of the symmetrizing operator Lk e1e2 on the series P1 j=0 aj zj . Obtained results confirm the ectiveness of the proposed approach.