What is geometry function theory?
Geometric function theory is the study of geometric properties of analytic functions.
A fundamental result in the theory is the Riemann mapping theorem..
What is the geometric function theory and special functions?
Geometric Function Theory (GFT) is the branch of the Complex Analysis which deals with the geometric properties of analytic and harmonic functions, and is closely related to Special Functions..
What is the history of geometric function theory?
Geometric Function Theory (GFT) originates from the celebrated Riemann mapping theorem of 1851.
The first rigorous proof emerged in 1900.
C.
Carathéodory provided proof in 1912 using normal families and Riemann surfaces..
What is the introduction of geometric function theory?
Geometric Function Theory (GFT) is a branch of complex analysis which deals with the geometric assets of analytic functions.
It was established around the 20th century and has remained one of the active fields of current research..
- A complex function is a function from complex numbers to complex numbers.
In other words, it is a function that has a subset of the complex numbers as a domain and the complex numbers as a codomain.
Complex functions are generally assumed to have a domain that contains a nonempty open subset of the complex plane. - Geometric Function Theory (GFT) is a branch of complex analysis which deals with the geometric assets of analytic functions.
It was established around the 20th century and has remained one of the active fields of current research.