Coefficient Conditions for Starlikeness of Nonnegative Order
Joint Authors
Ali, Rosihan M.
Lee, See Keong
Mondal, Saiful R.
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-18
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Sufficient conditions on a sequence {ak} of nonnegative numbers are obtained that ensures f(z)=∑k=1∞akzk is starlike of nonnegative order in the unit disk.
A result of Vietoris on trigonometric sums is extended in this pursuit.
Conditions for close to convexity and convexity in the direction of the imaginary axis are also established.
These results are applied to investigate the starlikeness of functions involving the Gaussian hypergeometric functions.
American Psychological Association (APA)
Ali, Rosihan M.& Lee, See Keong& Mondal, Saiful R.. 2012. Coefficient Conditions for Starlikeness of Nonnegative Order. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-472529
Modern Language Association (MLA)
Ali, Rosihan M.…[et al.]. Coefficient Conditions for Starlikeness of Nonnegative Order. Abstract and Applied Analysis No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-472529
American Medical Association (AMA)
Ali, Rosihan M.& Lee, See Keong& Mondal, Saiful R.. Coefficient Conditions for Starlikeness of Nonnegative Order. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-472529
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-472529