Plenary Lecture

Geometric Function Theory and Applications
(New Development)



Professor Dr Maslina Darus
Head of Fundamental Studies Unit
Centre of Research Modeling Analysis
&
Head of Mathematics Programme

School of Mathematical Sciences,
Universiti Kebangsaan Malaysia,
43600 UKM, Bangi, Selangor
MALAYSIA

Email: maslina@ukm.my

Abstract: The theory of analytic univalent function is a classical problem of complex analysis which belongs to a beautiful part of geometric function theory (GFT). To our interest, GFT denotes the part of functions analysis devoted to estimations of different magnitudes related to conformal mapping of one region onto another. Conformal mapping is a classical part of complex analysis having intimately connected with the theory of boundary value problems for harmonic functions, thus has numerous applications in mathematical physics and other branches of mathematics. A large number of generalizations of the class of univalent function have been explored and properties such as distortion theorems, radii and Fekete-Szego theorems are the main interests of solving problems. To date, various methods have been used such as method of differential subordinations, method of differential inequalities and methods of arising from the convolution theory. These are rather some curiosity provoking and recently attracted many other mathematicians to the derivation of new subclasses and new properties. Results from the theory of the geometric function are remarkable by their particular elegance and simplicity of formulations. However, in searching for a new breakthrough in the field, new approach and new development are indeed needed.


 

Brief Biography of the Speaker:
Maslina Darus started her career in Universiti Kebangsaan Malaysia(UKM) in 1992 as a Tutor at the Department of Mathematics. She pursued her PhD (Mathematics) in University of Wales, Swansea, United Kingdom late September 1992. She specialized in Complex Analysis (Geometric Function Theory) and obtained her PhD in July 1996. She has been appointed as a lecturer at UKM in the duration of 1996-2000 and appointed as Associate Professor in the duration of 2001-2005. In 2002, she has been awarded the “National Young Scientist Award” by the Ministry of Science and Technology, Malaysia. She has been promoted to full Professor in 2006 till present. She has until now published over 170 research papers in Journals internationally and nationally. She is currently the Head of Fundamental Studies Unit, Centre for Research Modeling Analysis and also acting as Head of Mathematics Programme, School of Mathematical Sciences. She has been actively involved collaborating with many other researchers in the specialized area, namely from Macedonia, Romania, India, China, Turkey and Japan. Concurrent with the mutual interests among the researchers, a specialized conference with the theme “New Development of Geometric Function Theory and its Applications” is organized jointly between UKM and Kinki University, Japan. The conference is scheduled in November 10-13, 2008.