Some Identities on the 𝑞-Genocchi Polynomials of Higher-Order and 𝑞-Stirling Numbers by the Fermionic 𝑝-Adic Integral on ℤ𝑝

Abstract

A systemic study of some families of 𝑞-Genocchi numbers and families of polynomials of Nörlund type is presented by using the multivariate fermionic 𝑝-adic integral on ℤ𝑝. The study of these higher-order 𝑞-Genocchi numbers and polynomials yields an interesting 𝑞-analog of identities for Stirling numbers.