A Remark on The Miller-Mocanu Lemma

作者:Marjono*; Fitri Saadatul
来源:4th International Conference on Research, Implementation, and Education of Mathematics and Sciences (ICRIEMS), 2017-05-15 to 2017-05-16.
DOI:10.1063/1.4995118

摘要

The aim of this research is to express another version of the Miller-Mocanu Lemma. By using the Clunie-Jack Lemma and the Schwarz's Lemma, we find another version of the Miller-Mocanu Lemma. The principal of this result is telling us that the maximum or the minimum will occured at the boundary. This Lemma can be applied in starlike, convex, close-to-convex and also for the class of Bazilevic functions. We also give an example of the application of the Miller-Mocanu Lemma on the Bazilevic function of order alpha.

  • 出版日期2017