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The HVRFIF is a hidden variable fractal interpolation function (HVFIF) constructed by recurrent iterated function system (RIFS) with function contractivity factors. An attractor of RIFS has a local self-similar or self-affine structure and looks more naturally than one of IFS. The contractivity factors of IFS(RIFS) determine fractal characteristic and shape of its attractor. Therefore, the HVRFIF with function con"},"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":"1904.11884","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2019-04-24T02:41:35Z","cross_cats_sorted":[],"title_canon_sha256":"34b75453848e3439d1a47ed6be9b52a37ad26154a6559e253a5a7af95ccbeea6","abstract_canon_sha256":"90d958418bd5851995cf4380cf18bcd06cfa49f3e0cbff61462652ac1165709c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:40.689819Z","signature_b64":"xb991OzwX31Is7tlq/l4esH2i05ft9b1BU9tPKMmlPO1c+zQF+cUy2wm/6Oe4XNIa2xE/ZK1clgVpbqxZ5GBAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84238327529643cbcbccb65ad1ff78ce8068ea3f968ac1c51b3eb39a0730d229","last_reissued_at":"2026-05-17T23:47:40.689413Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:40.689413Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analytic properties of hidden variable recurrent fractal interpolation function with function contractivity factors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Chol-Hui Yun, Mi-Kyong Ri","submitted_at":"2019-04-24T02:41:35Z","abstract_excerpt":"In this paper, we analyze the smoothness and stability of hidden variable recurrent fractal interpolation functions (HVRFIF) with function contractivity factors introduced in Ref. 1. 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