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Question: Let ƒ (z) = The questions that follow will all revolve around this complex-valued function.

Question: Let ƒ (z) = The questions that follow will all revolve around this complex-valued function.

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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4. A fixed point of f (2)is a complex number z such that f (2) = z. How many fixed points does f (2)have? 5. What is lim f(z} z00 For two real numbers x and y, f (x+iydan be written as u (x, y) + iv (x, y) where u and v are functions of real variables. 6. What is ((x + 1)² + y²) u (x, y)? O (2+ 1)° + y? Oa? + y? – 1 Oy? – x² +1 (x – y)?
Transcribed Image Text:4. A fixed point of f (2)is a complex number z such that f (2) = z. How many fixed points does f (2)have? 5. What is lim f(z} z00 For two real numbers x and y, f (x+iydan be written as u (x, y) + iv (x, y) where u and v are functions of real variables. 6. What is ((x + 1)² + y²) u (x, y)? O (2+ 1)° + y? Oa? + y? – 1 Oy? – x² +1 (x – y)?
Question: Let f (2) = The questions that follow will all revolve around this complex-valued function. z+1
Transcribed Image Text:Question: Let f (2) = The questions that follow will all revolve around this complex-valued function. z+1
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