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

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 ℤ 𝑝 . The study of these higher-order 𝑞 -Genocchi numbers and polynomials yields an interesting 𝑞 -analog of identities for Stirling numbers.