{"paper":{"title":"Identities involving the $\\left(h,q\\right)$-Genocchi polynomials and $\\left(h,q\\right)$-Zeta-type function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Armen Bagdasaryan, Erdogan Sen, Mehmet Acikgoz, Serkan Araci, Yuan He","submitted_at":"2013-12-01T18:00:03Z","abstract_excerpt":"The fundamental objective of this paper is to obtain some interesting properties for $\\left(h,q\\right)$-Genocchi numbers and polynomials by using the fermionic $p$-adic $q$-integral on $\\mathbb{Z}_{p}$ and mentioned in the paper $q$-Bernstein polynomials. By considering the $q$-Euler zeta function defined by T. Kim, which can also be obtained by applying the Mellin transformation to the generating function of $\\left(h,q\\right)$-Genocchi polynomials, we study $\\left(h,q\\right)$-Zeta-type function. We derive symmetric properties of $\\left(h,q\\right)$-Zeta function and from these properties we gi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.0255","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}