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Important examples of functions in $\\mathcal{U}(\\Lambda)$ are the classical polylogarithms $Li_\\alpha(z)$ $:=$ $\\sum_{k=1}^{\\infty} z^k / k^\\alpha$ for $\\alpha \\geq 0$.\n  In this paper we prove that every $\\varphi \\in \\mathcal{U}(\\Lambda)$ is universally starlike, i.e., "},"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":"1804.03931","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-04-11T11:25:31Z","cross_cats_sorted":[],"title_canon_sha256":"b692443fb96b6f32a8170a80144345b233070dddefc92893f57923f0645e4f94","abstract_canon_sha256":"c16cc0246bf38155323ed8626b868105385bc0763a00ca8725242770e80b0384"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:42.652696Z","signature_b64":"Y6/7FekDuQhSKKFA3G1drbw8vEze5K9+IaI02y79EmpNEFig3y2cwxXgtIUHWznGWyrDueO4fqxwvrS+A/nlDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb8cd8a8cc63108d041b0bce8a9abfa19b21766066744b0e1930302a9cf3b0d7","last_reissued_at":"2026-05-18T00:18:42.652213Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:42.652213Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Universally starlike and Pick functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Andrew Bakan, Luis Salinas, Stephan Ruscheweyh","submitted_at":"2018-04-11T11:25:31Z","abstract_excerpt":"Denote by $\\mathcal{P}_{\\log}$ the set of all non-constant Pick functions $f$ whose logarithmic derivatives $f^{\\, \\prime}/f$ also belong to the Pick class. 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