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Vasudevarao, Md Firoz Ali","submitted_at":"2016-07-18T13:43:57Z","abstract_excerpt":"For $-1\\le B<A\\le 1$, let $\\mathcal{S}^*(A,B)$ denote the class of normalized analytic functions $f(z)= z+\\sum_{n=2}^{\\infty}a_n z^n$ in $|z|<1$ which satisfy the subordination relation $zf'(z)/f(z)\\prec (1+Az)/(1+Bz)$ and $\\Sigma^*(A,B)$ be the corresponding class of meromorphic functions in $|z|>1$. For $f\\in\\mathcal{S}^*(A,B)$ and $\\lambda>0$, we shall estimate the absolute value of the Taylor coefficients $a_n(-\\lambda,f)$ of the analytic function $(f(z)/z)^{-\\lambda}$. Using this we shall determine the coefficient estimate for inverses of functions in the classes $\\mathcal{S}^*(A,B)$ and "},"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":"1607.05067","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-07-18T13:43:57Z","cross_cats_sorted":[],"title_canon_sha256":"17d643aac5b58f6f479f534bb8f4877e0df3f519e344b43765a79ba53b2993ad","abstract_canon_sha256":"2edfde6700de4252124d1d0e7be1b011336cd4648ca714edde38733af84dc702"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:56.010442Z","signature_b64":"kyOhEoduXBqeG5xMTHnqOnGfiZmsTsSP89uPvdgZWoSqE60cjZdmW295UF5p40uSfBLidy92xadHSPCPbxe7AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf53e16cc4894ffb4298cf83059717ff75ff78ebf4985bd8d7d360a415a59035","last_reissued_at":"2026-05-18T01:10:56.009559Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:56.009559Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Coefficient Estimates of Negative Powers and Inverse Coefficients for Certain Starlike Functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"A. Vasudevarao, Md Firoz Ali","submitted_at":"2016-07-18T13:43:57Z","abstract_excerpt":"For $-1\\le B<A\\le 1$, let $\\mathcal{S}^*(A,B)$ denote the class of normalized analytic functions $f(z)= z+\\sum_{n=2}^{\\infty}a_n z^n$ in $|z|<1$ which satisfy the subordination relation $zf'(z)/f(z)\\prec (1+Az)/(1+Bz)$ and $\\Sigma^*(A,B)$ be the corresponding class of meromorphic functions in $|z|>1$. For $f\\in\\mathcal{S}^*(A,B)$ and $\\lambda>0$, we shall estimate the absolute value of the Taylor coefficients $a_n(-\\lambda,f)$ of the analytic function $(f(z)/z)^{-\\lambda}$. Using this we shall determine the coefficient estimate for inverses of functions in the classes $\\mathcal{S}^*(A,B)$ and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.05067","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1607.05067","created_at":"2026-05-18T01:10:56.009695+00:00"},{"alias_kind":"arxiv_version","alias_value":"1607.05067v1","created_at":"2026-05-18T01:10:56.009695+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.05067","created_at":"2026-05-18T01:10:56.009695+00:00"},{"alias_kind":"pith_short_12","alias_value":"X5J6C3GERFH7","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_16","alias_value":"X5J6C3GERFH7WQUY","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_8","alias_value":"X5J6C3GE","created_at":"2026-05-18T12:30:51.357362+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/X5J6C3GERFH7WQUYZ6BQLFYX75","json":"https://pith.science/pith/X5J6C3GERFH7WQUYZ6BQLFYX75.json","graph_json":"https://pith.science/api/pith-number/X5J6C3GERFH7WQUYZ6BQLFYX75/graph.json","events_json":"https://pith.science/api/pith-number/X5J6C3GERFH7WQUYZ6BQLFYX75/events.json","paper":"https://pith.science/paper/X5J6C3GE"},"agent_actions":{"view_html":"https://pith.science/pith/X5J6C3GERFH7WQUYZ6BQLFYX75","download_json":"https://pith.science/pith/X5J6C3GERFH7WQUYZ6BQLFYX75.json","view_paper":"https://pith.science/paper/X5J6C3GE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1607.05067&json=true","fetch_graph":"https://pith.science/api/pith-number/X5J6C3GERFH7WQUYZ6BQLFYX75/graph.json","fetch_events":"https://pith.science/api/pith-number/X5J6C3GERFH7WQUYZ6BQLFYX75/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/X5J6C3GERFH7WQUYZ6BQLFYX75/action/timestamp_anchor","attest_storage":"https://pith.science/pith/X5J6C3GERFH7WQUYZ6BQLFYX75/action/storage_attestation","attest_author":"https://pith.science/pith/X5J6C3GERFH7WQUYZ6BQLFYX75/action/author_attestation","sign_citation":"https://pith.science/pith/X5J6C3GERFH7WQUYZ6BQLFYX75/action/citation_signature","submit_replication":"https://pith.science/pith/X5J6C3GERFH7WQUYZ6BQLFYX75/action/replication_record"}},"created_at":"2026-05-18T01:10:56.009695+00:00","updated_at":"2026-05-18T01:10:56.009695+00:00"}