Novel identities for elementary and complete symmetric polynomials with diverse applications.

Autor: Arafat, Ahmed, El-Mikkawy, Moawwad
Předmět:
Zdroj: AIMS Mathematics; 2024, Vol. 9 Issue 9, p23489-23511, 23p
Abstrakt: This article aims to present novel identities for elementary and complete symmetric polynomials and explore their applications, particularly to generalized Vandermonde and special tri-diagonal matrices. It also extends existing results on Jacobi polynomials P (α,β) n (x) and introduces an explicit formula based on the zeros of P (α,β) n−1 (x). Several illustrative examples are included. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index