Document
On differential operators and subclasses of harmonic and univalent function.
Identifier
AL Amri, Mohammed Ali (2011). On differential operators and subclasses of harmonic and univalent function (Master thesis, Universiti Kebangsaan Malaysia Bangi, Bandar Baru Bangi, Malaysia).
Publisher
Universiti Kebangsaan Malaysia Bangi.
Gregorian
2011
Language
English
English abstract
In this research we introduce new classes of a generalization on a certain class of Salagean-Type harmonic univalent functions HP∗(n,µ,δ,we define a differential operator for multivalent functions in the unit disk and we define and investigate a new subclass of salagean-type harmonic univalent functions by using differential operator Dnλ,µ,γ. These subclasses will be mentioned in this research and we will study and investigate their fundamental properties such as: a sufficient coefficient condition , the coefficients estimates, partial sum, distortion bounds and extreme points, convolution and convex combination and many others.
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Category
Theses and Dissertations