Symmetric identities for an analogue of Catalan polynomials

TL;DR

This paper explores symmetric identities related to an analogue of Catalan polynomials using fermionic p-adic integrals, contributing new mathematical insights into their properties.

Contribution

It introduces symmetric identities for an analogue of Catalan polynomials utilizing fermionic p-adic integrals, a novel approach in this context.

Findings

Derived symmetric identities for the polynomials

Established connections with fermionic p-adic integrals

Enhanced understanding of polynomial symmetries

Abstract

In this paper, we consider an analogue of Catalan polynomials and give some identities of symmetry for those polynomials by using fermionic $p$-adic integrals on the ring of $p$-adic integers