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34. True-False. If the assertion is true, quote a relevant theorem or reason, or give a proof; if false, give a counter example or other justification. e) (T or F) Let S(z) z+i The Mobius transformation S(z) maps the real axis to the unit z- circle. f) (T or F) The function f (z) = z² is conformal in the unit disk D(0,1).

34. True-False. If the assertion is true, quote a relevant theorem or reason, or give a proof; if false, give a counter example or other justification. e) (T or F) Let S(z) z+i The Mobius transformation S(z) maps the real axis to the unit z- circle. f) (T or F) The function f (z) = z² is conformal in the unit disk D(0,1).

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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need help with e, f for complex variables, thankyou

34. True-False. If the assertion is true, quote a relevant theorem or reason, or give a proof; if false, give a counter example or other justification. z+i e) (T or F) Let S(z) = 2. The Mobius transformation S(z) maps the real axis to the unit z-i circle. f) (T or F) The function f (z) = z² is conformal in the unit disk D(0,1).
Transcribed Image Text:34. True-False. If the assertion is true, quote a relevant theorem or reason, or give a proof; if false, give a counter example or other justification. z+i e) (T or F) Let S(z) = 2. The Mobius transformation S(z) maps the real axis to the unit z-i circle. f) (T or F) The function f (z) = z² is conformal in the unit disk D(0,1).
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