University of Isfahan Mathematics and Society 2345-6493 11 1 2025 09 27 Some symmetric polynomial and related identities Some symmetric polynomial and related identities 1 24 29168 10.22108/msci.2025.142987.1703 FA Narges Ghareghani School of Mathematics, Department of Mathematics, statistics and Computer Science, College of Science, University of Tehran Morteza Mohammad-Noori School of Computer Science, Department of Mathematics, Statistics and Coputer Science, College of Science, University of Tehran Journal Article 2024 10 14 In this paper, we study some symmetric polynomials and their properties. In addition to the elementary and complete symmetric polynomials, we consider the accumulative versions of these polynomials and using common combinatorial tools, particularly generating functions, we study related identities. In order to precise how these identities generalize and extend binomial-type identities, the notation is developed through the paper. In this paper, we study some symmetric polynomials and their properties. In addition to the elementary and complete symmetric polynomials, we consider the accumulative versions of these polynomials and using common combinatorial tools, particularly generating functions, we study related identities. In order to precise how these identities generalize and extend binomial-type identities, the notation is developed through the paper. https://math-sci.ui.ac.ir/article_29168_d3bffe75ceb471cdac55f2ba0bc63db4.pdf