{"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"}