A Third-Order Differential Equation and Starlikeness of a Double Integral Operator
Functions f(z)= z+E°2 anzn that are analytic in the unit disk and satisfy the differential equation f'(z) + azf"(z)+yz2f"(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...
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| Format: | Article |
| Language: | en |
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Hindawi Publishing Corporation
2011
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| Online Access: | http://eprints.usm.my/38219/1/A_Third-Order_Differential_Equation_and_Starlikeness.pdf http://eprints.usm.my/38219/ http://dx.doi.org/10.1155/2011/901235 |
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| author | M. Ali, Rosihan See, Keong Lee Subramanian, K. G. Swaminathan, A. |
| author_facet | M. Ali, Rosihan See, Keong Lee Subramanian, K. G. Swaminathan, A. |
| author_sort | M. Ali, Rosihan |
| building | Hamzah Sendut Library |
| collection | Institutional Repository |
| content_provider | Universiti Sains Malaysia |
| content_source | USM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | Functions f(z)= z+E°2 anzn that are analytic in the unit disk and satisfy the differential equation
f'(z) + azf"(z)+yz2f"(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) = (10(10G(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. |
| format | Article |
| id | my.usm.eprints.38219 |
| institution | Universiti Sains Malaysia |
| language | en |
| publishDate | 2011 |
| publisher | Hindawi Publishing Corporation |
| record_format | eprints |
| spelling | my.usm.eprints.38219 http://eprints.usm.my/38219/ A Third-Order Differential Equation and Starlikeness of a Double Integral Operator M. Ali, Rosihan See, Keong Lee Subramanian, K. G. Swaminathan, A. QA1-939 Mathematics Functions f(z)= z+E°2 anzn that are analytic in the unit disk and satisfy the differential equation f'(z) + azf"(z)+yz2f"(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) = (10(10G(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. Hindawi Publishing Corporation 2011 Article PeerReviewed application/pdf en http://eprints.usm.my/38219/1/A_Third-Order_Differential_Equation_and_Starlikeness.pdf M. Ali, Rosihan and See, Keong Lee and Subramanian, K. G. and Swaminathan, A. (2011) A Third-Order Differential Equation and Starlikeness of a Double Integral Operator. Abstract and Applied Analysis, 2011 (901235). pp. 1-10. ISSN 1085-3375 http://dx.doi.org/10.1155/2011/901235 |
| spellingShingle | QA1-939 Mathematics M. Ali, Rosihan See, Keong Lee Subramanian, K. G. Swaminathan, A. A Third-Order Differential Equation and Starlikeness of a Double Integral Operator |
| title | A Third-Order Differential Equation and Starlikeness of a Double Integral Operator |
| title_full | A Third-Order Differential Equation and Starlikeness of a Double Integral Operator |
| title_fullStr | A Third-Order Differential Equation and Starlikeness of a Double Integral Operator |
| title_full_unstemmed | A Third-Order Differential Equation and Starlikeness of a Double Integral Operator |
| title_short | A Third-Order Differential Equation and Starlikeness of a Double Integral Operator |
| title_sort | third-order differential equation and starlikeness of a double integral operator |
| topic | QA1-939 Mathematics |
| url | http://eprints.usm.my/38219/1/A_Third-Order_Differential_Equation_and_Starlikeness.pdf http://eprints.usm.my/38219/ http://dx.doi.org/10.1155/2011/901235 |
| url_provider | http://eprints.usm.my/ |