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- Title
Some Applications on Generating Functions.
- Authors
Boussayoud, Ali; Kerada, Mohamed; Sahali, Rokiya; Rouibah, Wahiba
- Abstract
In this paper, we calculate the generating functions by using the concepts of symmetric functions. Although the methods cited in previous works are in principle constructive, we are concerned here only with the question of manipulating combinatorial objects, known as symmetric operators. The proposed generalized symmetric functions can be used to find explicit formulas of the Fibonacci numbers, and of the Tchebychev polynomials of first and second kinds. Moreover, we give new results for the product of Hadamard.
- Subjects
MATHEMATICAL symmetry; COMBINATORICS; POLYNOMIALS; OPERATOR theory; NUMBER theory
- Publication
Journal of Concrete & Applicable Mathematics, 2014, Vol 12, Issue 1/2, p321
- ISSN
1548-5390
- Publication type
Article