Classes with Negative Coefficients and Convex with Respect to Other Points
Let S be the class of functions f which are analytic and univalent in the open unit disc D = {z : |z| < 1} given by f(z) = z + ∞ n=2 anzn and an a complex number. Let T denote the class consisting of functions f of the form f(z) = z − ∞ n=2 anzn where an is a non negative real number. In [8], Won...
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| Format: | Article |
| Language: | English English |
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HIKARI Ltd
2008
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| Online Access: | https://eprints.ums.edu.my/id/eprint/35854/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/35854/2/FULL%20TEXT.pdf |
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| author | Wong See Jiuon Aini Janteng |
| author_facet | Wong See Jiuon Aini Janteng |
| author_sort | Wong See Jiuon |
| collection | UMS |
| description | Let S be the class of functions f which are analytic and univalent in the open unit disc D = {z : |z| < 1} given by f(z) = z + ∞ n=2 anzn and an a complex number. Let T denote the class consisting of functions f of the form f(z) = z − ∞ n=2 anzn where an is a non negative real number. In [8], Wong and Janteng introduced 3 subclasses of T ; CsT(α, β), CcT(α, β) and CscT(α, β), consisting of analytic functions with negative coefficients and are respectively convex with respect to symmetric points, convex with respect to conjugate points and convex with respect to symmetric conjugate points. Here, α and β are to satisfy certain constraints. This paper extends the result in [8] to other properties namely growth and extreme points. |
| first_indexed | 2024-03-06T03:24:12Z |
| format | Article |
| id | ums.eprints-35854 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-03-06T03:24:12Z |
| publishDate | 2008 |
| publisher | HIKARI Ltd |
| record_format | dspace |
| spelling | ums.eprints-358542023-07-14T07:14:19Z https://eprints.ums.edu.my/id/eprint/35854/ Classes with Negative Coefficients and Convex with Respect to Other Points Wong See Jiuon Aini Janteng QA299.6-433 Analysis QA440-699 Geometry. Trigonometry. Topology Let S be the class of functions f which are analytic and univalent in the open unit disc D = {z : |z| < 1} given by f(z) = z + ∞ n=2 anzn and an a complex number. Let T denote the class consisting of functions f of the form f(z) = z − ∞ n=2 anzn where an is a non negative real number. In [8], Wong and Janteng introduced 3 subclasses of T ; CsT(α, β), CcT(α, β) and CscT(α, β), consisting of analytic functions with negative coefficients and are respectively convex with respect to symmetric points, convex with respect to conjugate points and convex with respect to symmetric conjugate points. Here, α and β are to satisfy certain constraints. This paper extends the result in [8] to other properties namely growth and extreme points. HIKARI Ltd 2008 Article NonPeerReviewed text en https://eprints.ums.edu.my/id/eprint/35854/1/ABSTRACT.pdf text en https://eprints.ums.edu.my/id/eprint/35854/2/FULL%20TEXT.pdf Wong See Jiuon and Aini Janteng (2008) Classes with Negative Coefficients and Convex with Respect to Other Points. International Mathematical Forum, 3 (27). pp. 1-7. ISSN 1312-7594 |
| spellingShingle | QA299.6-433 Analysis QA440-699 Geometry. Trigonometry. Topology Wong See Jiuon Aini Janteng Classes with Negative Coefficients and Convex with Respect to Other Points |
| title | Classes with Negative Coefficients and Convex with Respect to Other Points |
| title_full | Classes with Negative Coefficients and Convex with Respect to Other Points |
| title_fullStr | Classes with Negative Coefficients and Convex with Respect to Other Points |
| title_full_unstemmed | Classes with Negative Coefficients and Convex with Respect to Other Points |
| title_short | Classes with Negative Coefficients and Convex with Respect to Other Points |
| title_sort | classes with negative coefficients and convex with respect to other points |
| topic | QA299.6-433 Analysis QA440-699 Geometry. Trigonometry. Topology |
| url | https://eprints.ums.edu.my/id/eprint/35854/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/35854/2/FULL%20TEXT.pdf |
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