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https://ptsldigital.ukm.my/jspui/handle/123456789/499547Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | Maslina Darus, Prof. Dr. | |
| dc.contributor.author | Nasser Mohammed Al-Kasbi (P59382) | |
| dc.date.accessioned | 2023-10-13T09:32:43Z | - |
| dc.date.available | 2023-10-13T09:32:43Z | - |
| dc.date.issued | 2015-01-01 | |
| dc.identifier.other | ukmvital:80058 | |
| dc.identifier.uri | https://ptsldigital.ukm.my/jspui/handle/123456789/499547 | - |
| dc.description | Differential and integral operators play an important role in the study of analytic functions. These operators help define new classes of analytic functions with certain geometric properties. The objective of this thesis is to study certain differential and integral operators and the classes defined by these operators. We start by introducing the basic terminology of geometric function theory and give a short review of differential and integral operators, which have already been studied in the literature. First, two generalised integral operators are defined for the class of analytic functions. Certain analytic properties are discussed as well as the conditions under which these operators become univalent are also studied. A generalised differential operator for the class of analytic functions is defined. Certain result on coefficient inequalities, growth and distortion theorem and extreme points are obtained. A class of analytic functions with negative coefficient is introduced using the generalised differential operator and its various geometric properties are studied. Salagean differential operator for the class of analytic functions is also generalised and two subclasses of analytic functions with negative coefficients are discussed in detail. We also study an integral operator defined using a differential operator for the class of meromorphic p-valent functions. Certain subclasses of meromorphic p-valent functions are also defined and their geometric properties, for example coefficient estimates, growth and distortion theorem, radius of starlikeness and convexity, are also studied. It is also shown that these classes are closed under certain integral operators. Finally we introduce an integral operator via a differential operator for the class of analytic functions and study its geometric properties.,Ph.D. | |
| dc.language.iso | eng | |
| dc.publisher | UKM, Bangi | |
| dc.relation | Faculty of Science and Technology / Fakulti Sains dan Teknologi | |
| dc.rights | UKM | |
| dc.subject | Analytic function | |
| dc.subject | Geometric properties | |
| dc.title | New operators for certain classes of analytic function and their properties | |
| dc.type | Theses | |
| dc.format.pages | 119 | |
| dc.identifier.barcode | 002005(2016) | |
| Appears in Collections: | Faculty of Science and Technology / Fakulti Sains dan Teknologi | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| ukmvital_80058+SOURCE1+SOURCE1.0.PDF Restricted Access | 478.65 kB | Adobe PDF |  View/Open |
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