Advances on the coefficients of bi-prestarlike functions

作者：Jahangiri Jay M^*; Hamidi Samaneh G

来源：Comptes Rendus Mathematique, 2016, 354(10): 980-985.

DOI：10.1016/j.crma.2016.08.009

Since 1923, when Lowner proved that the inverse of the Koebe function provides the best upper bound for the coefficients of the inverses of univalent functions, finding sharp bounds for the coefficients of the inverses of subclasses of univalent functions turned out to be a challenge. Coefficient estimates for the inverses of such functions proved to be even more involved under the bi-univalency requirement. In this paper, we use the Faber polynomial expansions to find upper bounds for the coefficients of bi-prestarlike functions and consequently advance some of the previously known estimates. Published by Elsevier Masson SAS on behalf of Academie des sciences.

• 出版日期2016-10