Küçükoğlu, İrem2021-02-192021-02-19202097807354402580094-243Xhttps://doi.org/10.1063/5.0026414https://hdl.handle.net/20.500.12868/734International Conference on Numerical Analysis and Applied Mathematics 2019, ICNAAM 2019 -- 23 September 2019 through 28 September 2019----165330The aim of this paper is to analyze higher-order Peters-type combinatorial numbers and polynomials by means of their generating functions and p-adic integration. By using generating functions we first obtain a combinatorial identity containing not only these numbers and polynomials, but also the Stirling numbers of the first kind, the falling factorial and binomial coefficients. Secondly, by implementation of p-adic integration into the combinatorial sum representation of higher-order Peters-type combinatorial polynomials which includes falling factorial function, we provide both bosonic and fermionic p-adic integral representations of these numbers and polynomials. © 2020 American Institute of Physics Inc.. All rights reserved.eninfo:eu-repo/semantics/openAccessCombinatorial numbers and polynomialsCombinatorial sumDaehee and Changhee numbersGenerating functionP-adic integralPeters polynomialsStirling numbers of the first kindConference Object10.1063/5.00264142293Q4