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Let Y be the curve in the complex plane consisting of a line segment from -1 to -i followed by the quarter unit circle joining -i to 1. To sin(2²) dz. Computez cos(2²) dz, and Y Y-U[-1,1]

Let Y be the curve in the complex plane consisting of a line segment from -1 to -i followed by the quarter unit circle joining -i to 1. To sin(2²) dz. Computez cos(2²) dz, and Y Y-U[-1,1]

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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(a) Let y be the curve in the complex plane consisting of a line segment from -1 to -i followed by the quarter unit circle joining —¿ to 1. Кон (b) Show that if f is an entire function satisfying Compute [= cos(2²) dz, and sin(2²) dz. z 15 |ƒ (2)| ≤ 1 + |2|¹5 + |2|64/3 then f is a polynomial of degree at most 21. VzEC, such that 2 2023,
Transcribed Image Text:(a) Let y be the curve in the complex plane consisting of a line segment from -1 to -i followed by the quarter unit circle joining —¿ to 1. Кон (b) Show that if f is an entire function satisfying Compute [= cos(2²) dz, and sin(2²) dz. z 15 |ƒ (2)| ≤ 1 + |2|¹5 + |2|64/3 then f is a polynomial of degree at most 21. VzEC, such that 2 2023,
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