Geometric Properties of Analytic Functions
演讲者
Olubunmi Abidemi Fadipe-Joseph
时间
2026年10月28日 13:30 至 14:30
地点
A3-3-301
线上
Zoom 442 374 5045
(BIMSA)
摘要
Geometric Function Theory (GFT) is a branch of complex analysis. It is an area of Mathematics that combines geometry and analysis; it studies geometric properties of analytic functions. It provides new weapons to use on traditional problems. Problems are rendered transparent by way of geometric language approach to function theory. Geometric functions are very useful in the analysis of practical problems of hydrodynamics, aerodynamics, elasticity and the natural sciences. The cornerstone of GFT is the univalent functions, but, today many related topics have been established. That is, the theory of univalent functions is the foundation stone for GFT. One of the major interests in GFT is finding the cofficient bounds of univalent functions. These bounds provide useful information on the geometric properties of analytic functions. The bounds determine the growth, distortion properties among others of the analytic function. Here, basic concepts in GFT shall be provided.