Marjono, Janusz Sokół, Derek K. Thomas
Let f be analytic in D= { z: | z| < 1 } , with f(z)=z+∑n=2∞anzn and belong to the set of Bazilevič functions of logarithmic growth B1(α) defined for α≥ 0 by Re{f′(z)(f(z)z)α-1}>0. Sharp bounds for | a5| , | a6| and the fifth coefficient of the inverse function are given when 0 ≤ α≤ 1. © 2017, Springer International Publishing AG.
Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, 65145, Jawa Timur, Indonesia; Faculty of Mathematics and Natural Sciences, University of Rzeszów, ul. Prof. Pigonia 1, Rzeszow, 35-310, Poland; Department of Mathematics, Swansea University, Singleton Park, Swansea, SA2 8PP, United Kingdom
