{"paper":{"title":"Series and integral representations of the Taylor coefficients of the Weierstrass sigma-function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.CV","authors_text":"A. Ghanmi, A. Intissar, Y. Hantout","submitted_at":"2009-09-19T17:07:07Z","abstract_excerpt":"We provide two kinds of representations for the Taylor coefficients of the Weierstrass $\\sigma$-function $\\sigma(\\cdot;\\Gamma)$ associated to an arbitrary lattice $\\Gamma$ in the complex plane $\\mathbb{C}=\\mathbb{R}^2$ - the first one in terms of the so-called Hermite-Gauss series over $\\Gamma$ and the second one in terms of Hermite-Gauss integrals over $\\mathbb{C}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.3597","kind":"arxiv","version":2},"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"}