SYMMETRIC FUNCTIONS FOR FAMILIES OF GENERATING FUNCTIONS

 Title SYMMETRIC FUNCTIONS FOR FAMILIES OF GENERATING FUNCTIONS Publication Type Journal Article Year of Publication 2018 Authors BOUSSAYOUD ALI, ABDERREZZAK ABDELHAMID, ZHANG PHILIPB Journal Neural, Parallel, and Scientific Computations Volume 26 Issue 1 Start Page 53 Pagination 12 Date Published 01/2018 ISSN 1061-5369 Keywords 05E05, 11B39 Abstract In this paper we show how the action of the symmetrizing operators $L_{e_{1}e_{2}}^{k}\$to the series $\sum_{j=0}^{\infty }S_{j}\left( -A\right) e_{1}^{j}z^{j}$ allows the obtention of an alternative approach for the determination of Fibonacci numbers and Chebychev polynomials of the first and second kind. URL https://acadsol.eu/npsc/articles/26/1/3.pdf DOI 10.12732/npsc.v26i1.3 Refereed Designation Refereed