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Criteria for Strongly Starlike Functions
Author
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-07-03
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Let f(z) be analytic in the unit disk U={z:|z|<1} with f(0)=f'(0)-1=0 and (f(z)/z)f'(z)≠0.
By using the method of differential subordinations, we determine the largest number α(β,λ,μ,m) such that, for some β,λ,μ, and m, the differential subordination λzf'(z)/f(z)1-μ1+(zf''(z)/f'(z))-zf'(z)/f(z)+zf'(z)/f(z)m≺1+z/1-zα(β,λ,μ,m) (z∈U) implies zf'(z)/f(z)≺1+z/1-zβ.
Some useful consequences of this result are also given.
American Psychological Association (APA)
Xu, Neng. 2011. Criteria for Strongly Starlike Functions. ISRN Geometry،Vol. 2011, no. 2011, pp.1-8.
https://search.emarefa.net/detail/BIM-449884
Modern Language Association (MLA)
Xu, Neng. Criteria for Strongly Starlike Functions. ISRN Geometry No. 2011 (2011), pp.1-8.
https://search.emarefa.net/detail/BIM-449884
American Medical Association (AMA)
Xu, Neng. Criteria for Strongly Starlike Functions. ISRN Geometry. 2011. Vol. 2011, no. 2011, pp.1-8.
https://search.emarefa.net/detail/BIM-449884
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-449884