Sharp Coefficient Bounds for the Quotient of Analytic Functions

We derive sharp upper bound on the initial coefficients and Hankel determinants for normalized analytic functions belonging to a class, introduced by Silverman, defined in terms of ratio of analytic representations of convex and starlike functions. A conjecture related to the coefficients for functi...

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Veröffentlicht in:Kyungpook mathematical journal 2018, 58(2), , pp.231-242
Hauptverfasser: 박지향, Virendra Kumar, 조낙은
Format: Artikel
Sprache:eng
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Zusammenfassung:We derive sharp upper bound on the initial coefficients and Hankel determinants for normalized analytic functions belonging to a class, introduced by Silverman, defined in terms of ratio of analytic representations of convex and starlike functions. A conjecture related to the coefficients for functions in this class is posed and verified for the first five coefficients KCI Citation Count: 0
ISSN:1225-6951
0454-8124
DOI:10.5666/KMJ.2018.58.2.231