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30.4. Suppose that f(z) has a pole of order m at zo. Show that f'(2) has a pole of order m +1 at zo. 30.6. Classify the zeros and singularities of the functions tan z (a). f(2)=sin(1-z-¹), (b). f(2)= (c). f(z)= tanh 2. A-

30.4. Suppose that f(z) has a pole of order m at zo. Show that f'(2) has a pole of order m +1 at zo. 30.6. Classify the zeros and singularities of the functions tan z (a). f(2)=sin(1-z-¹), (b). f(2)= (c). f(z)= tanh 2. A-

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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30.4. Suppose that f(z) has a pole of order m at zo. Show that f'(z) has a pole of order m +1 at zo. 30.6. Classify the zeros and singularities of the functions tan z (a). f(2)=sin(1-z-¹), (b). f(z) = (c). f(z)=tanh. n-
Transcribed Image Text:30.4. Suppose that f(z) has a pole of order m at zo. Show that f'(z) has a pole of order m +1 at zo. 30.6. Classify the zeros and singularities of the functions tan z (a). f(2)=sin(1-z-¹), (b). f(z) = (c). f(z)=tanh. n-
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