TL;DR
This paper systematically studies families of multiple q-Genocchi and Euler numbers using multivariate q-Volkenborn integrals, deriving new identities and exploring higher-order properties.
Contribution
It introduces a comprehensive approach to analyze multiple q-Genocchi and Euler numbers via multivariate q-Volkenborn integrals, revealing new identities and higher-order relations.
Findings
Derived new identities for q-Genocchi numbers and polynomials
Established properties of higher-order q-Genocchi numbers
Enhanced understanding of multivariate q-Volkenborn integrals
Abstract
The purpose of this paper is to present a systemic study of some families of multiple q-Genocchi and euler numbers by using multivariate q-Volkenborn integral. From the studies of those q-Genocchi numbers and polynomials of higher order we derive some interesting identities related to q-Genocchi numbers and polynomials of higher order.
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