Symmetric Functions and Orthogonal Polynomials

1997 ◽  
Author(s):  
I. Macdonald
Keyword(s):  
Orthogonal Polynomials ◽  
Symmetric Functions

SYMMETRIC FUNCTIONS OF BINARY PRODUCTS OF TRIBONACCI LUCAS NUMBERS AND ORTHOGONAL POLYNOMIALS

2021 ◽  
Vol 21 (2) ◽  
pp. 461-478
Author(s):  
HIND MERZOUK ◽  
ALI BOUSSAYOUD ◽  
MOURAD CHELGHAM
Keyword(s):  
Orthogonal Polynomials ◽  
Generating Functions ◽  
Symmetric Functions ◽  
Lucas Numbers

In this paper, we will recover the new generating functions of some products of Tribonacci Lucas numbers and orthogonal polynomials. The technic used her is based on the theory of the so called symmetric functions.

scholarly journals Symmetric functions of binary products of fibonacci and orthogonal polynomials

Filomat ◽  
2019 ◽  
Vol 33 (6) ◽  
pp. 1495-1504 ◽  
Author(s):  
Ali Boussayoud ◽  
Mohamed Kerada ◽  
Serkan Araci ◽  
Mehmet Acikgoz ◽  
Ayhan Esi
Keyword(s):  
Orthogonal Polynomials ◽  
Generating Functions ◽  
Symmetric Functions ◽  
Fibonacci Numbers ◽  
Chebychev Polynomials ◽  
Symmetric Properties

In this paper, we introduce a new operator in order to derive some new symmetric properties of Fibonacci numbers and Chebychev polynomials of first and second kind. By making use of the new operator defined in this paper, we give some new generating functions for Fibonacci numbers and Chebychev polynomials of first and second kinds.

scholarly journals Symmetric Functions for k-Fibonacci Numbers and Orthogonal Polynomials

2018 ◽  
Vol 6 (3) ◽  
pp. 98-102
Author(s):  
Khadidja Boubellouta ◽  
Ali Boussayoud ◽  
Mohamed Kerada
Keyword(s):  
Orthogonal Polynomials ◽  
Symmetric Functions ◽  
Fibonacci Numbers

CLASSES OF WEIGHTED SYMMETRIC FUNCTIONS

1988 ◽  
Vol 14 (2) ◽  
pp. 429
Author(s):  
Tran
Keyword(s):  
Symmetric Functions
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