A remark on the Miller-Mocanu Lemma | Zendy

Marjono Marjono | Zendy; Sa’adatul Fitri | Zendy

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A remark on the Miller-Mocanu Lemma

Author(s) -

Marjono Marjono,

Sa’adatul Fitri

Publication year - 2017

Publication title -

aip conference proceedings

Language(s) - English

Resource type - Conference proceedings

eISSN - 1551-7616

pISSN - 0094-243X

DOI - 10.1063/1.4995118

Subject(s) - lemma (botany) , miller , mathematics , regular polygon , class (philosophy) , combinatorics , pure mathematics , computer science , artificial intelligence , geometry , ecology , poaceae , biology

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.

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