Article
Kyungpook Mathematical Journal 2018; 58(2): 231-242
Published online June 23, 2018
Copyright © Kyungpook Mathematical Journal.
Sharp Coefficient Bounds for the Quotient of Analytic Functions
Ji Hyang Park, Virendra Kumar, and Nak Eun Cho*
Department of Applied Mathematics, Pukyong National University, Busan 48513, Republic of Korea, e-mail : jihyang1022@naver.com, vktmaths@yahoo.in and necho@pknu.ac.kr
Received: September 22, 2017; Accepted: March 9, 2018
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.
Keywords: univalent function, coecient bound, Hankel determinant