A Third-Order Differential Equation and Starlikeness of a Double Integral Operator
Joint Authors
Ali, Rosihan M.
Subramanian, K. G.
Lee, See Keong
Swaminathan, A.
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-02-06
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Functions f(z)=z+∑2∞anzn that are analytic in the unit disk and satisfy the differential equation f'(z)+αzf''(z)+γz2f'''(z)=g(z) are considered, where g is subordinated to a normalized convex univalent function h.
These functions f are given by a double integral operator of the form f(z)=∫01∫01G(ztμsν)t-μs-νds dt with G' subordinated to h.
The best dominant to all solutions of the differential equation is obtained.
Starlikeness properties and various sharp estimates of these solutions are investigated for particular cases of the convex function h.
American Psychological Association (APA)
Ali, Rosihan M.& Lee, See Keong& Subramanian, K. G.& Swaminathan, A.. 2011. A Third-Order Differential Equation and Starlikeness of a Double Integral Operator. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-10.
https://search.emarefa.net/detail/BIM-506523
Modern Language Association (MLA)
Ali, Rosihan M.…[et al.]. A Third-Order Differential Equation and Starlikeness of a Double Integral Operator. Abstract and Applied Analysis No. 2011 (2011), pp.1-10.
https://search.emarefa.net/detail/BIM-506523
American Medical Association (AMA)
Ali, Rosihan M.& Lee, See Keong& Subramanian, K. G.& Swaminathan, A.. A Third-Order Differential Equation and Starlikeness of a Double Integral Operator. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-10.
https://search.emarefa.net/detail/BIM-506523
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-506523