{"id":41057,"date":"2025-07-07T06:13:42","date_gmt":"2025-07-07T06:13:42","guid":{"rendered":"https:\/\/uomosul.edu.iq\/en\/computerscience\/?p=41057"},"modified":"2025-07-07T06:13:50","modified_gmt":"2025-07-07T06:13:50","slug":"1-223","status":"publish","type":"post","link":"https:\/\/uomosul.edu.iq\/en\/computerscience\/2025\/07\/07\/1-223\/","title":{"rendered":"master’s thesis by Student Ali Halil Ghatheth Al-Shammari"},"content":{"rendered":"

Discussion of a master’s thesis in the College of Computer Science and Mathematics – Department of Mathematics Sciences entitled:<\/p>\n

“<\/strong> Generating Mittag-Leffler-Koebe Function Using Hadamard Product with some Applications<\/strong> \u00a0<\/strong>“<\/strong><\/p>\n

It was discussed in the discussion room at the Faculty of Computer Science and Mathematics at the University of Mosul on Thursday, 3 -7-2025.<\/p>\n

master’s thesis by Student <\/strong>Ali Halil Ghatheth Al-Shammari<\/strong><\/p>\n

under<\/strong> the supervision of<\/strong> Prof. Dr. Ahmed Mohammed Ali and Asst. Prof. Dr. Mohammed Thanoon Younis<\/strong><\/p>\n

In this study, a new function generated from the hadamard product between the Mittag-Leffler and Koebe functions, we called it Mittag-Leffler-Koebe function<\/p>\n

This function was studied analytically and proved to be well-defined and convergent under certain conditions. In addition, we discussed some of its properties. In this thesis, we have reached many mathematical relationships and recurrence relationships that link this function to other special functions, in addition to studying some special cases at certain values of the parameter . The study method also varied around the basic variable of the function in the event that it is either a complex variable \u00a0or a real variable raised to power . The Laplace transform played an important and fundamental role in finding many of the other properties and relations presented in this thesis. The Mittag-Leffler-Koebe function plays a fundamental role in solving some ordinary differential equations, in addition to its contribution to finding the inverse Laplace transform of some complex functions. On the applied level, the function has shown its importance in the fields of physics, where it was used in the study of the decaying oscillator and the weight function. These results enhance the importance of the function in applied mathematics, which opens the way for more research in this field and other fields.<\/p>\n

 <\/p>\n

The scientific committee included the following members:<\/strong><\/p>\n