{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# prob04 - e z = z if and only if-π< Im z< π 4 Find the...

This preview shows page 1. Sign up to view the full content.

Problem Set 4 Due February 26 th , 2007 1. Write the function f ( z ) = 100 k =0 e kz as the ratio of two sines. 2. Verify the identity sin z - sin w = 2 cos ( z + w 2 ) sin ( z - w 2 ) , and show that sin z = sin w if and only if z = w + 2 or z = - w + (2 k + 1) π, where k is an integer. 3. Prove that Log
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: e z = z if and only if-π < Im z < π . 4. Find the derivative of the principal branch of z 1+ i at z = i . 5. Show that cos-1 z =-i log ( z + ( z 2-1) 1 / 2 ) . 6. p.129 1, 2....
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern