Ministry of Higher Education
and Scientifics research
University of Babylon
Complex Functions
Lecture 21
Ali Hussein Mahmood Al-Obaidi
College of Education for Pure Sciences
Physics Department
Three Stage
ali.alobaidi81@yahoo.com
3.3 Trigonometric Function:From Euler formula, we get
Thus
If we suppose
, we get
3.3.1 Characteristics:1)
2)
Also
3) Differential
are analytic function in all point plan except
are analytic functions in all point plans
4) Relations
1.
2.
3.
1
.
.
Ministry of Higher Education
and Scientifics research
University of Babylon
Complex Functions
Lecture 21
Ali Hussein Mahmood Al-Obaidi
College of Education for Pure Sciences
Physics Department
Three Stage
ali.alobaidi81@yahoo.com
4.
5.
6.
7.
5) How make
H.W:H.W:EX:1.
2
Ministry of Higher Education
and Scientifics research
University of Babylon
Complex Functions
Lecture 21
College of Education for Pure Sciences
Physics Department
Three Stage
Ali Hussein Mahmood Al-Obaidi
ali.alobaidi81@yahoo.com
2.
EX (1):- Prove that
1.
2.
H.W
Ex (2):- Write the following function as
?
1.
2.
3.
6) Since
If
H.W
H.W
, then
i.
Put
ii.
3
, then