Certain Conditions for Starlikeness of Analytic Functions of Koebe Type
Joint Authors
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-08-28
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
For α≥0, λ>0, we consider the M(α,λ)b of normalized analytic α-λ convex functions defined in the open unit disc U.
In this paper, we investigate the class M(α,λ)b, that is, Re{(zfb′(z)/fb(z))[1-α+α(1-λ)(zfb′(z)/fb(z))+αλ(1+(zfb′′(z)/fb′(z)))]}>0, with fb is Koebe type, that is, fb(z):=z/(1-zn)b.
The subordination result for the aforementioned class will be given.
Further, by making use of Jack's Lemma as well as several differential and other inequalities, the authors derived sufficient conditions for starlikeness of the class M(α,λ)b of n-fold symmetric analytic functions of Koebe type.
Relevant connections of the results presented here with those given in the earlier works are also indicated.
American Psychological Association (APA)
Siregar, Saibah& Darus, Maslina. 2011. Certain Conditions for Starlikeness of Analytic Functions of Koebe Type. International Journal of Mathematics and Mathematical Sciences،Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-489906
Modern Language Association (MLA)
Siregar, Saibah& Darus, Maslina. Certain Conditions for Starlikeness of Analytic Functions of Koebe Type. International Journal of Mathematics and Mathematical Sciences No. 2011 (2011), pp.1-12.
https://search.emarefa.net/detail/BIM-489906
American Medical Association (AMA)
Siregar, Saibah& Darus, Maslina. Certain Conditions for Starlikeness of Analytic Functions of Koebe Type. International Journal of Mathematics and Mathematical Sciences. 2011. Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-489906
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-489906