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This result generalizes a result of M.Fang and W.Hong [Some results on normal family of meromorphic fu"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1509.06128","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-09-21T07:18:48Z","cross_cats_sorted":[],"title_canon_sha256":"bfee212f2b1ab8d6332192808606979b4d4412f14bef861e286a01450f16f0af","abstract_canon_sha256":"5eb77ff14a99d9a2c334f5e33e9be55d1a2204ad287ee8b4570b4046fd83c458"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:32:35.766720Z","signature_b64":"iFHgLi7eai4HsaXS32Je2/Ll43xV0ux+SIbpASDYG4U8X9kERin15MTMyqLIbpepWcIrDawONy/kMvGqFVJVAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5bc02aa566553c6c8b96ab43115a5bcd9eaf8e0b01e654bdcc80662b7ba92819","last_reissued_at":"2026-05-18T01:32:35.766141Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:32:35.766141Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sharing of a set of meromorphic functions and Montel's theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Kuldeep Singh Charak, Virender Singh","submitted_at":"2015-09-21T07:18:48Z","abstract_excerpt":"In this paper we prove the result: Let $\\mathcal{F}$ be a family of meromorphic functions on a domain $\\Omega$ such that every pair of members of $\\mathcal{F}$ shares a set $S:=\\left\\{\\psi_1(z), \\psi_2(z), \\psi_3(z) \\right\\}$ in $\\Omega$, where $\\psi_j(z), \\ j=1,2,3$ is meromorphic in $\\Omega.$ If for every $f\\in \\mathcal{F}$, $f(z_0)\\neq \\psi_i (z_0)$ whenever $\\psi_i(z_0)=\\psi_j(z_0)$ for $i,j\\in \\left\\{1,2,3 \\right\\}(i\\neq j)$ and $z_0\\in \\Omega ,$ then $\\mathcal{F}$ is normal in $\\Omega$. 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