{"paper":{"title":"Even and odd generalized hypergeometric coherent states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Mahouton Norbert Hounkonnou, Sama Arjika, Won Sang Chung","submitted_at":"2014-06-11T19:28:57Z","abstract_excerpt":"In this paper, we investigate a large class of generalized hypergeometric states $|p,q,z\\rangle$, depending on a complex variable $z$ and two sets of parameters, $(a_1,\\cdots,a_p)$ and $(b_1,\\cdots,b_q)$. Even and odd generalized hypergeometric states $|p,q,z\\rangle_e$ and $|p,q,z\\rangle_o$ are also defined and analyzed. The moment problem is solved by the Mellin transform techniques. For particular values of $p$ and $q$, the photon-counting statistics, quantum optical properties and geometry of these states are discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.3004","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"}