Ministry of Higher Education
and Scientifics research
University of Babylon
Complex Functions
Lecture 19
College of Education for Pure Sciences
Physics Department
Three Stage
Ali Hussein Mahmood Al-Obaidi
ali.alobaidi81@yahoo.com
3.1 The exponential function:The exponential function defined as follow
3.1.1 Characteristics:1) The absolute of exponential function is
Proof:-
2) The argument of exponential function is
3) Polar form of exponential function is
4)
Every where?
Proof:By polar form
Then
1
?
Ministry of Higher Education
and Scientifics research
University of Babylon
Complex Functions
Lecture 19
College of Education for Pure Sciences
Physics Department
Three Stage
Ali Hussein Mahmood Al-Obaidi
ali.alobaidi81@yahoo.com
So that
Thus
5)
a)
b)
c)
d)
e)
EX(1):- Find all value of
such that
?
Sol:-
Thus
EX(2):- Prove that
?
Sol:-
2
Ministry of Higher Education
and Scientifics research
University of Babylon
Complex Functions
Lecture 19
Ali Hussein Mahmood Al-Obaidi
College of Education for Pure Sciences
Physics Department
Three Stage
ali.alobaidi81@yahoo.com
by root two sides, we get
3