Discussion of a master’s thesis in the Faculty of Computer Science and Mathematics - Department of Mathematics Sciences entitled:
" study of complex operators and their implementations in geometric function theory " in discussion room at the Faculty of Computer Science and Mathematics at the University of Mosul on Monday 9/13/2021
Master's thesis on the study of the nodal effects of standard analytic functions and formal functions by student Laith Taha Khader.
Under the supervision of Assistant Professor Dr. Ahmed Mohamed Ali and Assistant Professor Dr. Heba Fawzy Sabaa.

This thesis dealt with the study of the complex effects of the normative analytic functions and the formal functions.
It discusses the use of the extended Hurwitz-Lerch zeta function to define a new general differential operator, which corresponds to the Salagean differential effect factor. Next, the modulus constraints of the new regular star-like subgroup K functions of analytic functions containing this new operator are introduced. In addition, other geometrical properties, such as growth, convex radius, star-likeness, proximal convexity, as well as the extreme points of this subgroup, were studied. New subgroups of analytic functions are also identified, for which some convexity properties are discussed and studied.

The discussion committee was chaired by Prof. Dr. Amer Abdel-Ilah Muhammad and the membership of each of the assistant professors, Dr. Firas Ghanem Ahmed from the University of Sharjah/College of Science and Assistant Professor Dr. Hussam Qassem Muhammad, with membership and supervision of Assistant Professor Dr. Ahmed Muhammad Ali and Assistant Professor Dr. Heba Fawzi Sabaa University of Baghdad/College of Science
The student obtained a master's degree in mathematics.

 

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