Skip to main navigation Skip to search Skip to main content

A remark on the Miller-Mocanu Lemma

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

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.

Original languageEnglish
Title of host publication4th International Conference on Research, Implementation, and Education of Mathematics and Science, 4TH ICRIEMS
Subtitle of host publicationResearch and Education for Developing Scientific Attitude in Sciences and Mathematics
EditorsSlamet Suyanto, Cahyorini Kusumawardani, Insih Wilujeng, Agus Maman Abadi
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735415485
DOIs
Publication statusPublished - 4 Aug 2017
Event4th International Conference on Research, Implementation, and Education of Mathematics and Sciences: Research and Education for Developing Scientific Attitude in Sciences and Mathematics, ICRIEMS 2017 - Yogyakarta, Indonesia
Duration: 15 May 2017 → 16 May 2017

Publication series

NameAIP Conference Proceedings
Volume1868
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference4th International Conference on Research, Implementation, and Education of Mathematics and Sciences: Research and Education for Developing Scientific Attitude in Sciences and Mathematics, ICRIEMS 2017
Country/TerritoryIndonesia
CityYogyakarta
Period15/05/17 → 16/05/17

Cite this