The Pre-Schwarzian Norm Estimate for Analytic Concave Functions
Joint Authors
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-04-15
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Let D denote the open unit disk and let S denote the class of normalized univalent functions which are analytic in D.
Let Co(α) be the class of concave functions f∈S, which have the condition that the opening angle of f(D) at infinity is less than or equal to πα, α∈(1,2].
In this paper, we find a sufficient condition for the Gaussian hypergeometric functions to be in the class Co(α).
And we define a class Co(α,A,B), (-1≤B This gives sharp upper and lower estimates for the pre-Schwarzian norm of functions in Co(α,A,B). We also give a characterization for functions in Co(α,A,B) in terms of Hadamard product.
American Psychological Association (APA)
Sim, Young Jae& Kwon, Oh Sang. 2015. The Pre-Schwarzian Norm Estimate for Analytic Concave Functions. International Journal of Mathematics and Mathematical Sciences،Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1066211
Modern Language Association (MLA)
Sim, Young Jae& Kwon, Oh Sang. The Pre-Schwarzian Norm Estimate for Analytic Concave Functions. International Journal of Mathematics and Mathematical Sciences No. 2015 (2015), pp.1-6.
https://search.emarefa.net/detail/BIM-1066211
American Medical Association (AMA)
Sim, Young Jae& Kwon, Oh Sang. The Pre-Schwarzian Norm Estimate for Analytic Concave Functions. International Journal of Mathematics and Mathematical Sciences. 2015. Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1066211
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1066211