Study on Two New Numbers and Polynomials Numbers and Polynomials Arising from the Fermionic p-adic Integral on \(\mathbb{Z}\)p

p-adic analysis and their applications is used distributions, measure, integrals, L-function other generalized functions. In addition, among the many ways to investigate construct generating functions for special polynomials numbers, one of most important techniques Fermionic integral over \(\mathbb{Z}\)p. this paper, we introduce new numbers arising from on First, as generalizations Changhee order r (r \(\epsilon\) \(\mathbb{N}\)), which are called polynomials. We explore some interesting identities explicit formulas these Second, define Catalan also study combinatorial