If |Z| ≤ 1 and w) ≤ 1, then show that |zw|2s (1z|-|w|)² + (arg z - arg w)²2.
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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![If |Z| ≤ 1 and w|≤ 1, then show that |zw|² < (2|-|w|)²
-
+ (arg z - arg w)².](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c4a76b3-3988-4f85-9d3b-26ea6a052da3%2Fba1bdd53-79c6-4ce8-a499-9eebe961f1b7%2Fpy7a97t_processed.jpeg&w=3840&q=75)
Transcribed Image Text:If |Z| ≤ 1 and w|≤ 1, then show that |zw|² < (2|-|w|)²
-
+ (arg z - arg w)².
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